A line passes through the points (8, -1) and (-4, 2).
10
8
6
4
-10 -3 -6 6 -2
2
4
6
8
10
X
4
-6
do
8
-10
What is the y-intercept of this line?

A Line Passes Through The Points (8, -1) And (-4, 2).10864-10 -3 -6 6 -2246810X4-6do8-10What Is The Y-intercept

Answers

Answer 1

Answer:

The y-intercept of this line is 1 (or  (0, 1)  )

Step-by-step explanation:

Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3.  Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.

Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):

-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b.  Solving for b, we get

4 = 4b, so that b must be 1.

The y-intercept of this line is 1 (or  (0, 1)  )


Related Questions

The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.

Answers

Answer: 40 cm

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.  

So,

1/2 * (18*d2)= 360

18*d2= 360*2

d2= 720/18

d2= 40

Which is correct? I wanna make sure im right

Answers

it is letter C. 3.9

hope it helps

#Chloe919

#thanks for the points

#carry on learning

Need help fast on hs geometry please

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

#1: Evaluate the expression for the given value of the variable. *
x + 7; X = 12​

Answers

Answer:

19

Step-by-step explanation:

Based on what I understood from your question,

Value of x has been given = 12

So if we substitute or place that value in the given equation x + 7

=> 12 + 7 = 19

Hope I got it right.

What is 11k+9=42 ? and how to do the work for it

Answers

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

Answer:

k = 3

Step-by-step explanation:

[tex]11k+9=42\\\\11k+9-9=42-9\\\\11k=33\\\\\frac{11k}{11}=\frac{33}{11}\\\\k=3[/tex]

How many different types of triangles are there?
 Draw and name the 4 different triangles.
 Write the properties of each triangle.
 Draw a circle and name the different parts of the circle.
 Find the relationship between radius and diameter.

NO SPAM!

Answers

Answer:

Explanation :

How many different types of triangles are there?

There are 6 types of triangles.

➝ Scalene Triangle➝ Isosceles Triangle➝ Equilateral Triangle➝ Acute Triangle➝ Obtuse Triangle➝ Right Triangle

[tex]\begin{gathered}\end{gathered}[/tex]

Draw and name the 4 different triangles.

[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.

The name of four triangles are :

➝ Right angled triangle ➝ Isosceles triangle ➝ Equilateral triangle ➝ Scalene triangle

[tex]\begin{gathered}\end{gathered}[/tex]

Write the properties of each triangle.

1. Acute-angled Triangle

[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰. 

2. Right-angled Triangle

[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰. 

3. Obtuse-angled Triangle

[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.

4. Equilateral Triangle

[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.

5. Isosceles Triangle

[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles. 

6. Scalene Triangle

[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰. 

[tex]\begin{gathered}\end{gathered}[/tex]

Draw a circle and name the different parts of the circle.

[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.

Parts of circle :

A circle can have different parts and based on the position and shape, these can be named as follows:

➝ Centre➝ Radius➝ Diameter➝ Circumference➝ Tangent➝ Secant➝ Chord ➝ Arc➝ Segment➝ Sector

[tex]\begin{gathered}\end{gathered}[/tex]

Find the relationship between radius and diameter.

[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

someone please help me i swear i'll give brainliest

Answers

I think this is right.


I’m so confused help please

Answers

Answer:

  B.  0

Step-by-step explanation:

If you subtract the right side expression and simplify, you get ...

  4/5(20x +5) -(16x -2) = 0

  16x +4 -16x +2 = 0

  6 = 0 . . . . . . . . . . . . false

There is no value of x that will make this true. There are no solutions.

Cost to cross the bridge(one-way): Truck (2 or 3 axles): $3.00 Truck (4 or 5 axles): $6.25 Truck (6 or more axles): $10.00. One morning, 3 trucks, each with 5 axles, and 1 truck with 8 axles, crossed the bridge in one direction. write a math problem and solve it to answer. HOW MUCH WAS THE TOLL FOR THE CROSSING OF THE BRIDGE.​

Answers

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

Write an Equation in Slope Intercept form for the line described:

passes through (2.5, 0) and (0, 5)

Answers

Answer:

y=-2x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-0)/(0-2.5)

m=5/-2.5

m=-2

y-y1=m(x-x1)

y-0=-2(x-2.5)

y=-2(x-2.5)

y=-2x+5

Please mark me as Brainliest if you're satisfied with the answer.

I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

Tyler's brother Works
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour.
After the raise, how much will Tyler's brother make per hour?

Answers

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

Answer:

$12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

and 12 + 0.60 = 12.60

Hope it makes sense


The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

y = 5x is the reference line (as best as I can interpret " y = 5* - .").

We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.

Parallel lines will have the same slope as the reference line, in this case m=5.  Our new line will take the form of y=5x+b.  An important difference is that the new line must go through (2,6).  We need to find a value of b that will make that work.

Use y=5x + b with point (2,6) and solve for b:

6 = 5*(2) + b

b = -4

The line that is parallel to y=5x and goes through the point (2,6) is thus:

y = 5x - 4

See the attachment.

The equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

What is the general equation of a straight line?

The general equation of a straight line is of the form -

y = mx + b

where -

[m] is slope of line

[b] is y - intercept

Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).

The equation of line [d] in the slope intercept form can be derived as follows -

Slope of line [c] = Slope of line [d]  (parallel lines)

m[d] = 5

Assume the equation of line [d] as -

y = m[d]x + b

6 = 5 x 2 + b

b = 6 - 10

b = - 4

The equation will be -

y = 5x - 4

Therefore, the equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/22038782

#SPJ1

ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?

ANSWER IS 34

Took the test :)

Answers

umm!! that’s great to hear- was there any help you needed?

Pls explain how to solve it! (Will mark brainylist)

Answers

Answer:

1,1

Step-by-step explanation:

x=1

y=1

if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1

add 30 to both sides to get 35y-4y=31

subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6

7x1 is 7 so then 7-6=1 and that gives us x=1.

Hope this helped

Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?

Answers

Duruvdidhu you can get my stuff for you today if not I’ll just ask my buddy to come get it

Am I right? Should I've to add more info?(only about Rectangle and Square)

Answers

Answer:

Yh its right.

Step-by-step explanation:

Have a great day!

Answer:

yeah it is correct

Step-by-step explanation:

and well hruu

8(4p + 3) please and thanks

Answers

Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

Help meeeeeeeeeeeeeeee​

Answers

Answer:

D.

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90°.

A.

m<CFD = 150° - 100° = 50°

m<EFD = 180° - 150° = 30°

Sum = 80°

No

B.

m<AFB = 40°

m<DFE = m<EFD = 30°

Sum = 70°

No

C.

m<AFC = 100°

Sum > 100°

No

D.

m<BFC = 100° - 40° = 60°

m<DFE = 30°

Sum = 90°

Yes

Answer: D.

What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?

Answers

Answer:2x³ - 8x is the volume of a rectangular prism.Step-by-step explanation:Volume: L x B x H=> (2x) × (x - 2)(x + 2)=> (2x) × (x² - 4)=> 2x(x² - 4)=> 2x³ - 8x units³ [According to DMAS rule]Conclusion:

Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(2x³ - 8x) is the volume of a rectangular prism.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)

Volume: L x B x H

= (2x) × (x - 2)(x + 2)

= (2x) × (x² - 4)

= 2x(x² - 4)

= 2x³ - 8x units³

Hence, 2x³ - 8x units³ is the volume of a rectangular prism.

For more references on volume, click;

https://brainly.com/question/13338592

#SPJ2

Math problem (easy)
……………………………………..

Answers

PEMDAS multiply first
(-3/8 x 1/2)
= -3/16
3/4 - 3/16 multiply numerator and denominator to simplify

12/16 - 3/16

9/16

Hope this helps!
Brainliest and a like is much appreciated!
The answer would be 9/16 :))))))

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.

But solutions to a quadratic equation is essentially where the line crosses the 'x' line.

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42

Answers

The first equation equals 13
The second one equals 12
to help you discover the answer better I really think the second one

Help pleaseeeeieneeiejne

Answers

Answer:

Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.

Step-by-step explanation:

domain refers to x values.

range refers to y values.

A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box

Answers

Answer:

[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]

Step-by-step explanation:

Total pencils = 30

Probability of picking a red = 1/6

Red pencils in the box = probability × total pencils

= 1/6 × 30

= 5 red pencils

So, there are 5 red pencils in the box.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Please quickly do number 12 & 13 I'll give brainliest.

Answers

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

8(3x – 6) = 6(4x + 8)

Answers

Answer: 0 = 96

Step-by-step explanation:

Answer:

The Answer is 0=96

half the product of two number a and b, added to thrice a third number c

Answers

Answer:

  ab/2 +3c

Step-by-step explanation:

Maybe you want to translate this to an algebraic expression.

__

The product of a and b is written ab.

Half that can be 1/2ab or ab/2. The latter tends to be less ambiguous.

Thrice c is 3c.

So, your expression is ...

  ab/2 +3c

A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.

Answers

Answer:  y = -(3/7)x - (36/7)

Step-by-step explanation:

Let's convert -3x - 7y = 10 to standard slope intercept form:  y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

-3x - 7y = 10

-7y = 3x + 10

y = -(3/7)x - (10/7)

This line has a slope of -(3/7).  Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.  

We want a value of b that forces the line to go trough point (-5,-3).  Use this point in the partial equation and solve for b:

y = -(3/7)x + b

-3 = -(3/7)(-5) + b

-3 = (15/7) + b

b = -3 - (15/7)

b = -(21/7) - (15/7)

b = -(36/7), or -5 1/7

y = -(3/7)x - (36/7)

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