Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
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
