Question

What is an equation of the line that passes through the point (−4,5) and is perpendicular to the line 4x+y=7

Answer 1

`y = (1)/(4) x + 6`

Explanation:

rewrite the original equation

`4x + y = 7 \\ y = - 4x + 7`

perpendicular line has a negative reciprocal slope. I will use this slope and substitute the points to find our y-intercept

`5 = (1)/(4) ( - 4) + b \\ 5 = - 1 + b \\ b = 6`