Question

1. what is the slope of the line shown in the graph, given that point a $(-2, 3)$ and point b $(0, 7)$ both lie on the line?

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign coordinates

Let $(x_1,y_1)=(-2,3)$ and $(x_2,y_2)=(0,7)$.

Step3: Substitute into formula

$m=\frac{7-3}{0-(-2)}=\frac{4}{2}$

Step4: Simplify the fraction

$m=2$

Answer:

2