Question

find the slope of any line perpendicular to the line through points (8, 4) and (9, 7)

Answer 1

find the slope of the two points and the inverse of that slope is the slope of a line perpendicular to those points.

Answer 2

and adding on, the perpendicular slope tends to be negative inverse of the original slope.

Answer 3

Consider first the slope of the line defined by the points, then find the perpendicular.\[m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-4}{9-8}=3 \implies m_{\perp}=-\frac{1}{3}\]

Answer 4

Thanks Katherine, forget to add that.

Answer 5

Slope of the perpendicular is the opposite of the reciprocal of the slope.

Answer 6

Do math every day.