QuestionB. The slope is undefined. 4
Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. $(-6,-9)$ and $(5,3)$ $\qquad$ $\qquad$ $x 2 y 2$

Studdy Solution
Determine the slope of a line perpendicular to the given line.
The slope of a line perpendicular to another is the negative reciprocal of the original slope:
$$m_{\text{perpendicular}} = -\frac{1}{m}$$ $$m_{\text{perpendicular}} = -\frac{1}{\frac{12}{11}}$$ $$m_{\text{perpendicular}} = -\frac{11}{12}$$
The slope of the line parallel to the given line is:
$$\boxed{\frac{12}{11}}$$
The slope of the line perpendicular to the given line is:
$$\boxed{-\frac{11}{12}}$$