Question

find the slope of the line 8x + y = -3. write your answer as an integer or as a simplified proper or improper fraction.

Explanation:

Step1: Convert to slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $8x + y=-3$. To get it in slope - intercept form, we solve for $y$.
Subtract $8x$ from both sides of the equation: $y=-8x - 3$.

Step2: Identify the slope

In the equation $y = mx + b$, the coefficient of $x$ is the slope. In the equation $y=-8x - 3$, the coefficient of $x$ is $-8$. So the slope $m=-8$.

Answer:

-8