Answer: y = − 3/2 x + 8
Step-by-step explanation:
Find the Perpendicular Line
Solve −2x + 3y = −6.
y = −2 + 2x/3
Find the slope when y = −2 + 2x/3 .
m = 2/3
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]
Simplify to find the slope of the perpendicular line.
perpendicular = −3/2
Find the equation of the perpendicular line using the point-slope formula.
y + 1 = − 3/2
⋅ (x − 6)
Write in y = mx + b form.
y = − 3/2 x + 8
