Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.

Answers

Answer 1

Answer:

The equation of the line in the slope-point form is y - 7 = 10(x + 6)

The equation of the line in the slope-intercept form is y = 10x + 67

Step-by-step explanation:

The slope-point form of the linear equation is y - y1 = m(x - x1), where

m is the slope(x1, y1) are the point lies on the line

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

∵ The slope of the line is 10

m = 10

∵ The line passes through the point (-6, 7)

x1 = -6 and y = 7

→ Substitute them in the slope-point form above

∵ y - 7 = 10(x - -6)

∵ (-)(-) = (+)

y - 7 = 10(x + 6)

The equation of the line in the slope-point form is y - 7 = 10(x + 6)

→ Substitute m in the slope-intercept form

y = 10x + b

→ To find b substitute x by -6 and y by 7 in the equation

∵ 7 = 10(-6) + b

∴ 7 = -60 + b

→ Add 60 to both sides to find b

67 = b

→ Substitute the value of b in the equation

y = 10x + 67

The equation of the line in the slope-intercept form is y = 10x + 67


Related Questions

Guys Please help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

32 + 42 + x = 180

x = 106

I don’t understand can someone help me

Answers

You set 49 equal to 8x - 15

So

8x - 15 = 49
+15 + 15

8x = 64

Then divide by 8

X= 8

What is the equation in slope-intercept form for the graph shown?

Answers

Answer:

y=-2x+1

Step-by-step explanation:

The slope is negative 2 because the way the line is pointing, and the y-intercept is 1.

Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?

Answers

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

Given: HF = HJ.FG = JK.
H is the midpoint of GK.
Prove: AFGH 2 AJKH
G
H
K

Answers

Answer:

Well, make brainlist okay

1) FH = JH ( GIVEN) Side

2) FG = JK (GIVEN) side

3) GH = HK ( MIDPOINT) side

AND BOOM

FGH = JKH ( from SSS, mention eq)

S mean side

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

12 min to 20 min

Answers

Answer: pretty sure it’s 12/20

Please can you help me with this

Answers

Answer:AB=CD=16cm

area of parallelogram=b×h

area of ABCD=CD×AE=AD×CF

16×8=AD×10

128=AD×10

12.8=AD

Step-by-step explanation:

The distance between the point (- 5 ,-2) and y-axis is
length unit.
(a) - 5
(b) – 2
(c) 2
(d) 5​

Answers

Using our x coordinate to find the distance. It is because D distance is always positive.

Someone please help me I don’t understand!!!!

Answers

Answer:

y= 2x+3

Step-by-step explanation:


Which linear equation represents the graph?

A. Y= 3x+6

B. Y= 3x-6

C. Y= -3x+6

D. Y= -3x-6



Answers

Answer:

The answer is C. Y= -3x+6

The answer can be found by substitute 0 into x and find the value of y. If the value is same with graph then it is correct.

Thank you and please rate me as brainliest as it will help me to level up

Find the are of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer.

x = 10in

Answers

Answer:

100 in²

Step-by-step explanation:

Area formula

A = x²

As per formula the area of a square and length of side are directly proportional

When x = 10 in, area is

A = 10² = 100 in²

4x(x + y) - y (x + y)
=​

Answers

Answer:

=4x2+3xy−y2

Hope this helps you

5x+18=7x-6 what’s the answer?

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 18 = 7x - 6

Step 2: Solve for x

Subtract 5x on both sides:               18 = 2x - 6Add 6 to both sides:                         24 = 2xDivide both sides by 2:                     12 = xRewrite:                                              x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    5(12) + 18 = 7(12) - 6Multiply:                        60 + 18 = 84 - 6Add/Subtract:               78 = 78

And we have our final answer!

I desperately need help.

Madison and Lucas went to the fair. Madison rode 8 rides and spent $20. Lucas rode 5 rides and spent $17. Write a linear equation, in slope-intercept form, that models the cost y of one person going on x rides. You can write the equation in any form.
1. Write an ordered pair representing Madison's data. Remember: ordered pairs look like (2,6)
2. Write an ordered pair representing Lucas's data. Remember: ordered pairs look like (2,6)
3. Calculate the slope
4. Write the Equation of the line

Answers

Answer:

first solve for x

8x=20

x=2.5

5x=17

x=3.4

then your equations

Madison: y=2.5x

Lucas: y=3.4x

then your ordered pairs

Madison: (4,10)

Lucas:(3,10.2)

then your slope

Madison-2.5

Lucas-3.4

I hope this is good enough:

x pounds of Repperts chocolate valued at $3.50 per pound is mixed with y pounds of Godiva
chocolate valued at $4.30 per pound to produce 10 pounds of a mixture selling for $39. Find x
and y, the number of pounds of each type of chocolate. write two equations and solve using elimination
!!!!PLEASE HELP!!!!

Answers

Answer:

5 pounds each

Step-by-step explanation:

Required equations:

x + y = 103.50x + 4.30y = 39

Substitute x in the second equation:

x = 10 - y

Solve for y:

3.5(10 - y) + 4.3y = 3935 - 3.5y + 4.3y = 390.8y = 4y = 4/0.8y = 5

Then

x = 10 - 5 = 5

5 pounds each

The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm. What are the lengths of the sides?

Answers

Answer:

A(8)=32cm

B(9)=36cm

C(10)=40cm

Step-by-step explanation:

let 8:9:10=A:B:C

∑ratios=8+9+10=27

Have a great day!

Step-by-step explanation:

Help will give brainliest!!

Answers

Answer:

5

Step-by-step explanation:

25x+5=130 ( corresponding angles are congruent )

25x=125

x=5

Express -4/-7 as a rational numbers with denominator.

1. -28
2. 7
3. 35​

Answers

Step-by-step explanation:

1. -28

-4/-7 × -1/4

4/7 × -1/4 = -4/28

2. 7

-4/-7 × 1/1

4/7 × 1/1 = 4/7

3. 35

-4/-7 × 1/5

4/7 × 1/5 = 4/35

I am so confused, I was never assigned the story

Answers

Answer:

C

Step-by-step explanation:

I don't why it seems like a greek story ending

Answer: It is D

Step-by-step explanation: Daedalus and his son was trapped in a tower, so the father made some wings out of wax for them to escape. The son was happy that he flew towards the sun and the wax melted causing him to fall in the ocean and drown.

HELLO HUMANS! QUICK QUESTION. WILL MARK AS BRAINLIEST!
How do you solve for the slope of a graph that isn't straight? How would I solve the slope for this?

Answers

9514 1404 393

Answer:

  use the slope formula

Step-by-step explanation:

Usually, you are asked for an average slope over some interval. The slope is calculated on that interval the same as it would be if you were given two points, one at each end of the interval.

  m = (y2 -y1)/(x2 -x1)

For example, if you wanted to know the slope on the interval [1, 2] hours, the points you would use would be ...

  (hours, miles) = (1, 25) and (2, 75)

The corresponding slope on that interval is ...

  m = (75 -25)/(2 -1) = 50 . . . . miles per hour

__

You can identify four (4) regions on this graph in which the slope is constant:

  (0, 1) . . . slope is 25 mph

  (1, 2) . . . slope is 50 mph, as computed above

  (2, 3) . . . slope is 0 (the rider has stopped)

  (3, 5) . . . slope is 25 mph

Over different intervals, you need to identify the points involved and use the formula to compute the average slope.

3 includes of snow in 5 hours?

Answers

Answer:

3 TIMES 5

Step-by-step explanation:

Fred is playing tennis. For every 2 of his serves that land in, 3 serves land out. If he hit 28 serves in, how many serves landed out?

Answers

Answer:

the answer is 56.

Step-by-step explanation:

2 for every 4 = 1 for every two, so 28 multiplied by two.

Determine the midpoint of the longest side ? A)(3.5,0.5)
B)(3,2)
C)(11.5,1.5)
D)(2.5,0.5)

Answers

D is the correct answer

what integer multiplied by negative 4 gives negative 32

Answers

8
8 multiplied by -4 gives -32

Answer:

8

Step-by-step

4x8=32 brainliest pls

b) Factorise
Factorise y2 + 2y - 24

Answers

Answer:

(y + 6)(y - 4)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] y² + 2y - 24

The factors of -24 that sum to 2 are 6 and -4.

So,

[tex] \longrightarrow [/tex] y² + (6 - 4)y -24

[tex] \longrightarrow [/tex] y² + 6y - 4y - 24

[tex] \longrightarrow [/tex] y(y + 6) - 4(y + 6)

[tex] \longrightarrow [/tex] (y + 6)(y - 4)

Answer:

( y-4) ( y+6)

Step-by-step explanation:

= y^2 + ( 6 - 4)y - 24

= y^2 + 6y - 4y - 24

= y( y + 6) - 4(y + 6)

= ( y - 4 ) ( y + 6)

Rema spent 6 days reading her book, completing the same fraction of the book each day. If she read a total of StartFraction 8 Over 9 EndFraction of her book after 6 days, what fraction of the book did she read each day? StartFraction 5 Over 54 EndFraction of the book StartFraction 3 Over 27 EndFraction of the book StartFraction 7 Over 54 EndFraction of the book StartFraction 4 Over 27 EndFraction of the book

Answers

Answer:

D) StartFraction 4 Over 27 EndFraction of the book

Step-by-step explanation:

I literally just took the quiz and I got it right. So... Good luck with the rest of it!

Answer:

d

Step-by-step explanation:

The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

Answers

Answer:

$2.19

Step-by-step explanation:

Given that :

Cost of 3 pounds of grape = $6.57

Cost in dollars = y ; number of pounds = x

Cost in dollars α number of pounds

Cost in dollars = k * number of pounds

k = constant of proportionality

$6.57 = k * 3

$6.57 = 3k

Divide both sides by 3

6.57 / 3 = 3k/ 3

2.19 = k

k = $2.19

3х - 5< 19
Will award the brainlest

Answers

Answer:

3x - 5 < 19

add 5 on both sides

3x < 24

divide both sides by 3

x < 8

in interval notation that is ( - infinitySymbol , 8)

Step-by-step explanation:

Answer:

X<8

Step-by-step explanation:

3x-5<19

+5 on each side

3x<24

÷3 on each side

X<8

Please help Thank you if you do

Answers

Answer:

Z×z×z÷z

Step-by-step explanation:

What is the "c" called in phythagorean theorem

Answers

Answer: The Pythagorean theorem is used for right triangles. "c" = the hypotenuse, this is the longest side of the triangle and is always opposite the 90 degree angle. The values of "a" and "b" are the other 2 sides.

Step-by-step explanation:

Hypotenuse

Hope that helped

Other Questions
Plz help asapWhy do you think religious scenes were such a common subject matter for artists to use in etchings and intaglio prints? Why does this medium lend itself to the subject matter? Read the sentence.We flew in an airplane to Uncle Mikes house because it was too far to drive.Which best describes the sentence?This is a simple sentence because it contains a subject and a predicate.This is a simple sentence because it contains a completed thought.This is a complex sentence because it joins two independent clauses using a conjunction.This is a complex sentence because it joins an independent clause with a dependent clause. It Is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. A. Describe the sampling distribution for the sample proportion by naming the model and telling its mean and standard deviation. Justify Your Answer. B. Sketch and clearly label the model. C. What is the probability that in this group over 18% of the new cars will be found to have electrical problems? I realized that.... If the population of rats in your community is doubled, what effect wouldthis have on the resources of the community? Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!! Lola runs at a constant speed of 3.4 meters per second for 1/2 hour.then she walks at a rate of 1.5 meters per second for 1/2.how far did Lola run and walk in 60 minutes? + 14. "-4 less than a number is 17." A bit confused I need some help 2/2 time signature how many half notes fit what is the amount of tax paid for the year Bao is mixing flour and water to make dough. The graph show how much water he uses for different amounts of flour Please help me with this question please.. Jane wants to share her pizza with two friends.she wants to make sure they all get the same how should she cut the pizza Who wrote a legal code that covered most areas of daily life? aGilgamesh bHammurabi cNebuchadnezzar Bonjourr, pouvez m aidez svpp. Voicii les questions et les documents. En vous aidant des deux documents, rpondez aux questions suivantes.Quelles sont les activits dans le centre-ville ?2 Comment se loge-t-on et se dplace-t-on en centre-ville ?A l'aide de vos connaissances, expliquez pourquoi le maire de la ville doit mettre enplace des projets pour redynamiser le centre-ville.Expliquez comment ces projets peuvent participer au dveloppement durable de l'aireurbaine nantaise. Utilisez vos connaissances pour complter les informations fourniespar les documents. 11. need help with this maths question A boy drops an ice cream cone on a cement sidewalk on a hot, sunny day. The ice cream begins to melt soon after hitting the sidewalk. What causes the ice cream to melt? Next Motion and Motion Graphs: Mastery Test Select the correct answer. The motion of a car on a position-time graph is represented with a horizontal line. What does this Indicate ab A. It's not moving. B. It's moving at a constant speed. C. It's moving at a constant velocity. D. It's speeding up. What is the history of Beowulf? Where was It written, how old Is It, and why do scholars find it to be important?