write an equation in standard form for the line that passes through (3,-1) and (-5,-3)

Answers

Answer 1

Answer:

y = 1/4x - 1.75

Step-by-step explanation:

standard form is y = mx + b

to get m you need to calculate the slope between the given points

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

m = (-1 - (-3))/(3 - (-5)) = 2/8 = 1/4

now you need to find the constant b by plugging in one of your points

y = 1/4x + b

-1 = 1/4(3) + b

b = -1 - (3/4)

b = -7/4 or -1.75

Answer 2

Answer:

0 = x - 4y - 7

Step-by-step explanation:

Moving from (-5, -3) to (3, -1), we see that x (the run) increases by 8 and y (the rise) incrases by 2.  Thus, the slope of the line connecting these two points is m = rise / run = 2/8, or 1/4.

Use the slope-intercept form of the equation of a straight line first:

y = mx + b becomes          -1 = (1/4)(3) + b, or (after multiplying all three terms

                                           by 4)  -4 = 3 + 4b.  Then 4b = -7, and b = -7/4.

Then the desired equation is    y  = (1/4)x - 7/4, or

4y = x - 7, or

0 = x - 4y - 7.  This is the desired equation in standard form.


Related Questions

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy
runs each day?
A. 7+ x <60
B. 7 + x>60
C. 7x > 60
D. 7x < 60
Help meeee

Answers

Answer:

D

Step-by-step explanation:

Happy I could help!

The sum of two consecutive numbers is n+1. What are the numbers?

Answers

Answer: n/2, n/2+1

Step-by-step explanation:

Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).

So in this situation (x is the first number);

n+1=x+x+1

n=x+x, n=2x

n/2=x

Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.

I'm bad at explaining.

Y=1/2x+13

Equation of a parallel line ?

Equation of a perpendicular line ?

Explain how you know if two lines are parallel or perpendicular based on their equations



Answers

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Y = mx + b is the slope-intercept form of a straight line where  m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be  y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one  is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13  an equation perpendicular could be y=  -(1 / 1/2) + 13

= y = -2x +  13

Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750. What is the percentage change in volume from cylinder A to cylinder B

Answers

Answer:

52.25%

Step-by-step explanation:

Answer rounded

Answer:

50% increase

Step-by-step explanation:

Hope this helps :)

You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you have 6 friends who want to come along.
How many different groups of friends could you take with you?

Answers

you can bring 3 groups of 2 people along with you on the boat ride

Answer:

15

Step-by-step explanation:

Khan Academy

Hi! Got a question.
What is the volume of a cylinder whose base area is 200 cm squares and a height of 8 cm.
Thanks!!
p.s: please do explain.

Answers

Answer:

1600cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

area of a circle = πr²

area of base circle = 200cm²

h = 8

200 * 8

= 1600cm³

Answer:

Volume is 1600 cm ^3

Step-by-step explanation:

V= Base area x Height

h= 8 cm

B.A.= 200 cm^2

Bruce’s hourly wage increased from $25.50 to $30.60. What rate of increase does this represent?

Answers

Hello !

((new value - old value) / old value) × 100

((30.60 - 25.50) / 25.50) × 100

= (5.10/25.50) × 100

= 0.2 × 100

= 20

→ The rate of increase is 20%

× × i hope i helped you ! × ×


The sum of three numbers is 112
The second number is 5 times the first.
The third number is 20 less than the second.
What is the second number?

Answers

Answer:

112    111  000 333  444  555  666  777  88  99900   1

Step-by-step explanation:

111  112  110  999  444  911  333 3333  33333333

3 1/3 -(5 1/2 x-2 1/6 )+8 5/9 x

Answers

Answer:

Look at the attachment

Find the volume. Please

Answers

Look at the attached picture

Hope it will be helpful to you....

Good luck on your assignment

-pragya~~



Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

\dfrac{24}{7}

7

24



start fraction, 24, divided by, 7, end fraction


(Choice B)

B

\dfrac{7}{24}

24

7



start fraction, 7, divided by, 24, end fraction


(Choice C)

C

\dfrac{24}{25}

25

24



start fraction, 24, divided by, 25, end fraction


(Choice D)

D

\dfrac{7}{25}

25

7



start fraction, 7, divided by, 25, end fraction

ANSWER IS: A) 24/7

Answers

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]

Therefore:

[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

The correct option is A

Answer:

ITS 7/25

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?
2002
F00 = x2
.
G(X) =

Answers

The 2002 was the the foo=x2 was right

The correct option is B.

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given 2 graphs in the diagram.

We are also given the equation of f(x) with its graph.

Furthermore, we have to find out the equation of g(x) from its graph.

We can see that the blue graph is just the red graph with its axis moved 2 units to the right.

We can find the horizontal transformation by:

g(x) = f(x - h)

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

g(x) = (x - 2)²

The correct option is B.

Hence, The correct option is B.

To learn more about Function, click:

brainly.com/question/12431044

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(The given question is incomplete, the complete question is given below)

The graphs below have the same shape. What is the equation of the blue

graph?

f(x) = x²

g(x) = ?

A. g(x) = x² - 2

B. g(x) = (x - 2)²

C. g(x) = x + 2

D. Q(x) = (x + 2)²

Which best completes the following sentence?
Triangles are congruent if they have the same

Answers

Answer:

shape and size

Step-by-step explanation:

When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.

Answer:

Size and shape.

Step-by-step explanation:

Size and shape.

All three angles and all three sides are congruent.

1. Solve the system using substitution (+20 pts)

y = 2x – 2
y = –3x + 13

Answers

Step-by-step explanation:

[tex]y=2x-2\\y=-3x+13[/tex]

[tex]2x-2=-3x+13[/tex]

[tex]5x-2=13[/tex]

[tex]5x=15[/tex]

x = 3

Now that we know x equals 3, we can plug it into one of the equations.

[tex]y=2(3)-2[/tex]

[tex]y=6-2[/tex]

y = 4

Which is the equation of a line that has a slope of -2/3and passes through point
(-3,-1)?

Answers

Answer:

y=-2/3x-3



Explanation

PLS ANSWER THIS AS SOON AS POSSIBLE I RlY NEED HELP WITH IT AND IDK WHICH IS THE RIGHT ANSWER PLS HELP. ps the lines on graph your able to change to find the answer. And the photos are the same thing its just i couldnt fit it in one photo

Answers

Answer:B

Step-by-step explanation:

Thats right

PLS HELP I MARK BRAINLIEST
There are 16 solar panels on the International Space Station.



What is the total area of the top surface of all 16 solar panels? Describe the process you used to solve the problem.

Answers

Answer:

460 kilometers

Step-by-step explanation:

The 262,400 solar cells cover around 27,000 square feet (2,500 m2) of space. 240 kilowatts of electricity can be generated from these solar arrays.which is an acre of solar panels and enough to power 10 average- sized homes with 110 kilowatts of power. The ISS orbits between 370 and 460 kilometers (230–286 miles) above Earth's surface.

Answer:

The total area of the top surface of all 16 solar panels should be 153,600 feet because the total area of one solar panel is 9,600 feet so since i need the total area of 16 i just multiply the total area of one solar panel with the amount of solar panels that i was given.

Step-by-step explanation:

Amy just put new tires on her car. if the wheels have a diameter of 8 inches, a out how far does the wheel travel in 2 revolutions​

Answers

Answer:

50.24 in

Step-by-step explanation:

to find how far it it will go you will need to find the circumference and times it by 2 to find the circumference the formula is 2*pi*radius so you would do 2*3.14*4 and that is 25.12 but since it is 2 revolutions​ you times 25.12 by 2

Answer:

50.24 in

Step-by-step explanation:

Stefani slices a right rectangular pyramid with a plane and the cross-section is in the
shape of a trapezoid. How does Stefani slice the pyramid?
А
parallel to the base through the vertex
В
perpendicular to the base through the vertex
C parallel to the base but not through the vertex
D perpendicular to the base but not through the vertex

Answers

Answer:

Option D.

Step-by-step explanation:

If Stefani slices the pyramid

Option A). parallel to the base through vertex, cross section will not be a trapezoid.

Option B). perpendicular to the base through the vertex, cross section will be a triangle.

Option C). parallel to the base but not through the vertex, cross section will be a rectangle.

Option D). Perpendicular to the base but not through the vertex, cross section will be a trapezoid.  

What is the solution for t in the equation? 2/3t - 1/5t = 2

Answers

Answer:

t= 30/7 or 4 and 2/7 (depend on if the answer calls for improper or mixed number form. they're the same answer written in different forms.)

Step-by-step explanation:

First, you must simplify. 2/3 minus 1/5 equals 7/15. So, the simplified expression is 7/15t=2. Then you have to divide each side by 7/15 to separate t from its coefficient. 2 divided by 7/15 is equal to 2 times 15/7 becausedivision of fractions is done by multiplying by the reciprocal. 2 times 15/7 equals 30/7, or 4 and 2/7 when simplified.

How do you use math every day?

Answers

Answer:

Figuring out distance, time and cost for travel

shopping for the best price

Step-by-step explanation:

What is the surface area of this solid?

Answers

Answer:

SA. = 62.8 +87.92= 150.72

Step-by-step explanation:

surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8

Surface area of cylinder without base = 2*pi*r*h + pi*r*r

                                                               = 2* 3.14 * 2 * 6 + 3.14*2*2

                                                               = 75.36 + 12.56 = 87.92

SA. = 62.8 +87.92= 150.72

The required surface area of the solid is 150.72.

Given
slant length
of cone = 10
length of cylinder = 6  
Common radius = 2

What is surface area?

Surface area is defined as the area of the surface that are uncovered.

Surface area of cone = π x r xs
= 3.14 x 2 x 10
= 62.82

Surface area of cylinder  = 2 x π x r x h + π x r²
= 2 x 3.14 x 2 x 6 + 3.14 x 2 x 2
= 87.9
The required surface area of solid= surface area of cone + surface area of cylinder
= 62.80 + 87.9
= 150.72

Thus, the required surface area of the solid is 150.72.

Learn more about surface area here:
https://brainly.com/question/2835293

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Find the slope of a line containing the points (-2,-6) and (-6, -4)

Answers

Answer:

1/-2

Step-by-step explanation:

-4+6/-6+2

Answer:

-1/2

Step-by-step explanation:

PLEASE HELP IM SO CONFUSEDDD

Answers

Answer:

x = 30

Step-by-step explanation:

The figures are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{18}[/tex] = [tex]\frac{45}{27}[/tex] ( cross- multiply )

27x = 810 ( divide both sides by 27 )

x = 30

20 POINTS PLEASE HELP ME. last question

REASONING Consider the circles A, B, C, and D.
SO in
a. Without calculating, circle
has the greatest circumference,
Explain

Answers

Answer:

The answer is at least 360 degrees.

Step-by-step explanation: A circle can't have more that a 360 degrees!

Can someone help me with 24 please?

Answers

Answer:

A(-3, -7)  B(2,-1)  C(-2,0)  D(-5,6)

Step-by-step explanation:

A(3,7) B(-2,1) C(2,0) D(5,-6)

180 rotation around origin = (-x,-y)

A(3,7) - A(-3,-7)

B(-2,1) - B(2,-1)

C(2,0) - C(-2,0)

D(5,-6) - D (-5,6)

Answer:

A(-3, -7)  B(2,-1)  C(-2,0)  D(-5,6)

Step-by-step explanation:

A(3,7) B(-2,1) C(2,0) D(5,-6)

180 rotation around the origin would equal (-x,-y)

A(3,7) - A(-3,-7)

B(-2,1) - B(2,-1)

C(2,0) - C(-2,0)

D(5,-6) - D (-5,6)

On May 29, 2005, Danica Patrick was named the first female Indy 500 Rookie of the
Year after her 4th place finish; the best Indy 500 finish of any woman in the event's
history. Danica completed the race in a time of 2.779 h. What was her average speed
during the 50 mile race? Express your answer in mph for "Miles per Hour".

Answers

Answer:

I'm not 100% sure (sorry), but i think that the overall average speed was about 139 miles per hour

Step-by-step explanation:

I NEED ANSWER ASAP!
The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.

1. 8 and 16
2. 10 and 14
3. 11 and 13
4. 15 and 9

Answers

Answer:

2. 10 and 14

Step-by-step explanation:

10 and 14 are the only numbers that are 4 apart.

i think it the 2nd one so 10 and 14

What is the yintercept of the line given by the equation below? Enter your
answer as an ordered pair.
y=4/17x+5

Answers

An

Step-by-step explanation:

1. What is the volume of 0.75 liters expressed in mm cubed?​

Answers

Answer:

750,000 mm^3

Step-by-step explanation:

1 liter = 1000 cm^3

1 cm^3 = 1000 mm^3

0.75 liter * (1000 cm^3)/(1 liter) * (1000 mm^3)/(1 cm^3) = 750,000 mm^3

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