Question

1.What is the equation in point-slope form for the line parallel to y = 7x + 13 that contains P(–8, –3)?

A. y + 3 = –7(x + 8)


B. x + 3 = –7(y + 8)


C. y – 3 = 7(x + 8)


D. y + 3 = 7(x + 8)

Answer 1

D

Explanation:

The line will be parallel and will have the same slope as y=7x+13. This means the slope is 7. The point slope form of a line is
`(y-y_1)=m(x-x_1)` where
`x_1=-8\\y_1=-3`. We write

`(y--3)=7(x--8)\\(y+3)=7(x+8)`