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

Use two points, e.g., $(0, -3)$ and $(3, 3)$.
Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{3 - (-3)}{3 - 0} = \frac{6}{3} = 2$

Step3: Write slope-intercept form

Slope-intercept form: $y = mx + b$
Substitute $m=2$ and $b=-3$.

Answer:

$y = 2x - 3$