When we re-write the given equation into its slope-intercept form, it will like this:
y = (-1/4)x - 6
This line has a slope equal to -1/4 so the slope of the required line has a slope of +4 (perpendicular to the given line). Use this new slope and the given point P0(-1, -7) into this equation:
y - y0 = m(x - x0) ---> y + 7 = 4(x + 1)
Rearranging the terms into its slope-intercept form, we get
