find the slope of a line parallel to the line whose equation is $x + y = -4$. fully simplify your answer.

find the slope of a line parallel to the line whose equation is $x + y = -4$. fully simplify your answer.

find the slope of a line parallel to the line whose equation is $x + y = -4$. fully simplify your answer.

Answer

Explanation:

Step1: Convert the equation to slope - intercept form ($y = mx + b$)

Given $x + y=-4$, subtract $x$ from both sides: $$y=-x - 4$$ Here, the slope $m$ of the line $x + y=-4$ is $-1$.

Step2: Use the property of parallel lines

Parallel lines have the same slope.

Answer:

$-1$