Question

Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)

Answer 1

Answer:

Perpendicular slope = – 1/m = -1/3 = -1/3

Step-by-step explanation:

Given the points

• (-1,2)

• (-2,-1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)$

$m=\frac{-1-2}{-2-\left(-1\right)}$

$m=\frac{-1-2}{-2-\left(-1\right)}$

$m=3$

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Thus, the slope of any line perpendicular to GH = -1/3