Question

1. enter an equation in the form y=mx+b that represents the function.

Explanation:

Step1: Identify y-intercept ($b$)

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

Step2: Calculate slope ($m$)

Use two points $(0, -3)$ and $(2, 5)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{5-(-3)}{2-0}=\frac{8}{2}=4$

Step3: Build the equation

Substitute $m=4$ and $b=-3$ into $y=mx+b$.

Answer:

$y=4x-3$