Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = = = -
given a line with slope m then the slope of a line perpendicular to it is
= - = - = , then
y = x + c ← is the partial equation
to find c substitute (3, 2 ) into the partial equation
2 = + c ⇒ c = 2 - = - =
y = x + ← equation of perpendicular line