Answer:
y = 3x + 7
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 ) = (- 3, 4) and (x₂, y₂ ) = (3, 2) ← 2 points on the line
m =
=
= -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 3, thus
y = 3x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = 3x + 7 ← equation of perpendicular line