Question

A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a parallel street that passes through (2, −3)?

Answer 1

y=3x+(-9).

OR

y=3x-9

Explanation:

First of all, we can find the slope of the first line.

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

m=
`(5-2)/(4-3)`

m=3

We know that the parallel line will have the same slope as the first line. Now it's time to find the y-intercept of the second line.

To find the y-intercept, substitute in the values that we know for the second line.

(-3)=(3)(2)+b

(-3)=6+b

b=(-9)

Therefore, the final equation will be y=3x+(-9).

Hope this helps!