Question

Write the equation of the line that passes (5,2) and is perpendicular to y=1/3x + 2

Answer 1

y = -3x + 17

Explanation:

Line y = 1/3 x + 2

Slope = m = 1/3

Slope of perpendicular line = -1/(1/3) = -3

Line with slope -3 that passes through point (5, 2)

y = mx + b

y = -3x + b

2 = -3 × 5 + b

2 = -15 + b

b = 17

y = -3x + 17