Question

find the slope of a line parallel to the line whose equation is ( x + y = -6 ). fully simplify your answer.

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange $x + y = -6$ to $y = -x - 6$.

Step2: Identify slope of given line

Slope of $y=-x-6$ is $m=-1$.

Step3: Slope of parallel line

Parallel lines have equal slopes, so $m_{\text{parallel}}=-1$.

Answer:

$-1$