Answer:
y = 3x - 17
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.
The slope of the given line is -1/3, so the slope of the perpendicular is 3.
y = mx + b
y = 3x + b
To find b, we replace x and y by the coordinates of the given point and solve for b.
y = 3x + b
-2 = 3(5) + b
-2 = 15 + b
b = -17
Now we substitute b in the equation with -17.
y = 3x + b
y = 3x - 17
