Question

Find the equation of the line through (7,−2) which is parallel to the line y=−x−4.

Give your answer in the form y=mx+b.

Answer 1

y = -x + 5

Explanation:

Parallel lines have the same slope, so the slope of the line we need to find is -1. Substituting into point-slope form, we get the equation to be

`y+2=-(x-7)`

which rearranges into slope-intercept form as follows:

`y+2=-x+7 \\ \\ y=-x+5`

Answer 2

y=-x+5

Explanation: