Question

Find the equation of the line through point (4,−7) and parallel to y=−23x+32.

Answer 1

y = -23x + 85

Explanation:

for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get

y = -23x + 85