Question

the graph of a line is represented by the equation $4x + y = 80$. which value represents the rat for the equation? a 4 b $-\frac{1}{4}$ c $\frac{1}{4}$ d $-4$

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept. We start with the equation $4x + y=80$. We need to solve for $y$.
Subtract $4x$ from both sides of the equation: $y=-4x + 80$.

Step2: Identify the slope (rate of change)

In the equation $y = mx + b$, the coefficient of $x$ is the slope. In the equation $y=-4x + 80$, the coefficient of $x$ is $- 4$. So the rate of change (slope) of the line represented by the equation $4x + y = 80$ is $-4$.

Answer:

D. - 4