Question

Which is the equation of the line parallel to the line y=-x + 2 through the point (3,5)?

Answer 1

C. y = −x + 8

Explanation:

Use point-slope form: y − b = m(x − a) where (a,b) is a point on the line

To do this, first identify the slope of the line from the given equation because having the same slope as the given equation is what makes the constructed line parallel to it.

m = −1

Then use the point (3,5) to construct an equation using point-slope form.

y − 5 = −1(x − 3)

Distribute:

y − 5 = −x + 3

and isolate y.

y = −x + 8

So the answer is C, y = −x + 8.