Question

Use an integer or a fraction to describe the slope of a perpendicular To this line.

Answer 1

Answer:

slope of perpendicular line = - $\frac{2}{3}$

Step-by-step explanation:

calculate the slope m of the given line using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = $\frac{3-0}{3-1}$ = $\frac{3}{2}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{2} }$ = - $\frac{2}{3}$