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

Question

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

Answer 1

Explanation:

perp.: 3

y + 3 = 3(x - 1)

y + 3 = 3x - 3

y = 3x - 6

Answer 2

y = 3x

Explanation:

Given line slope = m = -1/3

perpendicular line slope = - 1/m = 3

Point slope form through point 1, - 3

(y+3) = 3 ( x-1) expand and rearrange

y -3 = 3x- 3

y = 3x - 6