Question

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Answer 1

y - 9 = 1/2(x + 3)

Explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form: