Answer:
y = -1/3x + 8
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -1/3
Step 2: Find b
y = -1/3x + b
10 = -1/3(-6) + b
10 = 2 + b
b = 8
Step 3: Rewrite equation
y = -1/3x + 10
To make it perpendicular we use the opposite reciprocal of the slope, meaning we make the slope negative and swap the numerator and denominator. Then plug in the y intercept.
