Question

x-intercept: (□, 0)
y-intercept: (0, □)
rise=□
run=□
slope=□

Explanation:

Step1: Identify x-intercept

The x-intercept is where the line crosses the x-axis (y=0). From the graph, this point is $(2, 0)$.

Step2: Identify y-intercept

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

Step3: Calculate rise between two points

Rise is the change in y. Use points $(0, -3)$ and $(2, 0)$:
$\text{rise} = 0 - (-3) = 3$

Step4: Calculate run between two points

Run is the change in x. Use points $(0, -3)$ and $(2, 0)$:
$\text{run} = 2 - 0 = 2$

Step5: Compute slope from rise/run

Slope is $\frac{\text{rise}}{\text{run}}$.
$\text{slope} = \frac{3}{2}$

Answer:

x-intercept: $(2, 0)$
y-intercept: $(0, -3)$
rise=$3$
run=$2$
slope=$\frac{3}{2}$