a line intersects the points (3, 2) and (4, 5). what is the slope of this line in simplest form? m = ?

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points

Let $(x_1,y_1)=(3,2)$ and $(x_2,y_2)=(4,5)$.

Step3: Substitute values

$m=\frac{5 - 2}{4 - 3}$.

Step4: Calculate

$m=\frac{3}{1}=3$.

Answer:

$3$