Question

given the graph below, find the x-intercept, y-intercept, rise, run, and slope of the line.

Explanation:

Step1: Identify x-intercept

The x-intercept is where the line crosses the x-axis (y=0). From the graph, this point is $(3, 0)$.

Step2: Identify y-intercept

The y-intercept is where the line crosses the y-axis (x=0). From the graph, this point is $(0, -4)$.

Step3: Calculate rise

Rise is vertical change between two points. Using $(0, -4)$ and $(3, 0)$:
$0 - (-4) = 4$

Step4: Calculate run

Run is horizontal change between two points. Using $(0, -4)$ and $(3, 0)$:
$3 - 0 = 3$

Step5: Calculate slope

Slope is $\frac{\text{rise}}{\text{run}}$.
$\frac{4}{3}$

Answer:

x-intercept: $(3, 0)$
y-intercept: $(0, -4)$
rise= $4$
run= $3$
slope= $\frac{4}{3}$