Question

what is the slope of this line?

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify the two points

The two points on the line are $(0, - 3)$ and $(4,3)$. Let $(x_1,y_1)=(0,-3)$ and $(x_2,y_2)=(4,3)$.

Step3: Substitute into the formula

$m=\frac{3-(-3)}{4 - 0}=\frac{3 + 3}{4}=\frac{6}{4}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$