find the slope of a line parallel to the line whose equation is 6x + y = -3. 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. Given $6x + y=-3$, we solve for $y$. Subtract $6x$ from both sides: $y=-6x - 3$.

Step2: Identify the slope of the given line

In the equation $y=-6x - 3$, the coefficient of $x$ is $m=-6$.

Step3: Recall the property of parallel lines

Parallel lines have the same slope. So a line parallel to $y=-6x - 3$ has the same slope.

Answer:

$-6$