Question

Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5

Answer 1

y = 3x - 13

Explanation:

y = -1/3x + 5

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is 3

y = mx + b

y = 3x + b

Using (1,-10)

-10 = 3(1) + b

-10 = 3 + b

b = -13

y = 3x - 13