Question

(a) find the slope of the line and (b) interpret the slope. (-3,1) (0,-3) (a) the slope of the line is -\frac{4}{3}. (simplify your answer.) (b) interpret the slope. for every 3 - unit change in x, the change in y is unit(s). (simplify your answer.)

Explanation:

Step1: Recall slope - interpretation formula

The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}$. We know $m =-\frac{4}{3}$.

Step2: Analyze the change in y for a given change in x

If $\Delta x = 3$, and $m=\frac{\Delta y}{\Delta x}=-\frac{4}{3}$, then $\Delta y=m\times\Delta x$. Substituting $\Delta x = 3$ into the formula, we get $\Delta y=-\frac{4}{3}\times3=- 4$.

Answer:

• 4