In the following problems, find the slope of a line that is perpendicular to the given lines. (Be sure to express the equation in s intercept form first.) 1. 12x-3y=9

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asked Sep 28, 2023 44.6k views

1 Answer

Pesch · Answer 1 · 2023-10-02T02:58:24+0000

The given equation is

First, we have to isolate y to find the slope.

$\begin{gathered} -3y=9-12x \\ y=(9-12x)/(-3) \\ y=4x-3 \end{gathered}$

Remember that the slope is the coefficient of x. The slope of the given line is 4.

Then, we use the formula for the perpendicular slope to find the new one.

$\begin{gathered} m\cdot m_1=-1 \\ m\cdot4=-1 \\ m=-(1)/(4) \end{gathered}$