Question

find the slope of a line parallel to the line whose equation is (x + y=-7). fully simplify your answer.

Explanation:

Step1: Rewrite the equation in slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
Starting with $x + y=-7$, we solve for $y$:
$y=-x - 7$.

Step2: Identify the slope

For a line in the form $y = mx + b$, the coefficient of $x$ is the slope.
In the equation $y=-x - 7$, the slope $m=-1$.

Step3: Use the property of parallel lines

Parallel lines have the same slope.
So the slope of a line parallel to $x + y=-7$ is the same as the slope of $x + y=-7$.

Answer:

$-1$