Question

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

Explanation:

Step1: Rewrite to slope-intercept form

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

Step2: Identify original slope

The slope of the given line is $m_1 = -1$

Step3: Find perpendicular slope

Perpendicular slope $m_2 = -\frac{1}{m_1} = -\frac{1}{-1}$

Answer:

$1$