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question find the slope of a line perpendicular to the line whose equat…

Question

question find the slope of a line perpendicular to the line whose equation is 2x + 2y = - 12. fully simplify your answer. answer attempt 1 out of 2 submit answer watch video show examples

Explanation:

Step1: Rewrite given line in slope - intercept form

First, rewrite $2x + 2y=-12$ as $y=-x - 6$. The slope of this line is $m_1=-1$.

Step2: Use perpendicular slope formula

The slope of a line perpendicular to a line with slope $m_1$ is $m_2 =-\frac{1}{m_1}$. Since $m_1=-1$, then $m_2 = 1$.

Answer:

$1$