Question

(9, -4), y=-3x-2

Write in slope-intercept form the equation of the line that passes through the given point and is perpendicular to the given line

Answer 1

y = 1/3x - 7

Explanation:

y = -3x - 2

The slope of the perpendicular line is negative reciprocal. So, the slope is:

m = 1/3

The equation is: y -
`y_(1)` = m(x -
`x_(1)`)

y - (-4) = 1/3(x - 9)

y + 4 = 1/3x - 3

y = 1/3x - 7

So, the answer is y = 1/3x - 7