Question

heres a graph of a linear function. write the equation that describes that function. express it in slope - intercept form. enter the correct answer.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -3)$, so $b = -3$.

Step2: Calculate slope using two points

Use points $(0, -3)$ and $(2, 0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-(-3)}{2-0}=\frac{3}{2}$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{3}{2}$ and $b=-3$.

Answer:

$y=\frac{3}{2}x - 3$