Question

Write the equation of A line parralel to the line y=-4x+7, that passes through the point (3,-2)

Answer 1

y = -4x + 14

Explanation:

Any two lines which are parallel must have the same slope. We are given the slope -4, which means we have to use point slope form
`(y-y1)=m(x-x1)` which y1 and x1 are coordinates and m is the slope to find the line which is parallel to y = -4x + 7

`(y-2)=-4(x-3)`

Distribute -4

`(y-2)=-4x+12`

Add 2 on both sides

`y=-4x+14`