Question

Write an equation in slop intercept form of the line satisfying the following conditions. through (2, 9); perpendicular to x=6

Answer 1

perpendicular lines have a negative reciprocal slope

m=6 so the perpendicular slope = -1/6

slope intercept form = y-y1 = m(x-1)

y-9 = -1/6 (x-2)

y-9 = -1/6x + 2/6

add 9 to each side

y = -1/6x + 1/3 + 9

y = -1/6 x + 9 1/3