161k views
0 votes
What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?

Group of answer choices

A. y=2/3x-6

B. y=2/3x+12

C. y=2/3x-7

D. y=-3/2x+12

User JayD
by
7.2k points

1 Answer

5 votes

Answer:

The answer is option A

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is


y - 2 = (2)/(3) (x - 12) \\ y - 2 = (2)/(3) x - 8 \\ y = (2)/(3) x - 8 + 2

We have the final answer as


y = (2)/(3) x - 6 \\

Hope this helps you

User Loc Phan
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories