Find the slope of a line perpendicular to the line whose equation is 3x - 6y = 144. Fully simplify your...

Question

Find the slope of a line perpendicular to the line whose equation is 3x - 6y = 144. Fully simplify your answer.

SnapAndSolve AI · Accepted Answer

First, rewrite the equation in slope-intercept form (y = mx + b) to find the slope of the given line:

3x - 6y = 144

Subtract 3x from both sides:

-6y = -3x + 144

Divide every term by -6:

y = (1/2)x - 24

The slope (m) of the given line is 1/2.

The slope of a line perpendicular to another is the negative reciprocal of the original slope. Therefore, the slope of the perpendicular line is:

-2

Answer