Answer:
y = - 0.05x - 1.9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 20x ← is in slope- intercept form
with slope m = 20
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus
y = - 0.05x + b ← is the partial equation
To find b substitute (2, - 2) into the partial equation
- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9
y = - 0.05x - 1.9 ← equation of perpendicular line