Question

Find the equation of a line perpendicular to −x+y=−6 that contains the point (−4,5). Write the equation in slope-intercept form.

Answer 1

y = -x + 1

Explanation:

First, simplify -x+y=-6 to y = x - 6

Being perpendicular, then the x needs to be "flipped", making the slope y = -x

In order to have the slope go through (-4, 5), the line needs to intercept the y-axis at 1

Thus, the equation is

y = -x + 1