a line intersects the points (3, 2) and (5, 12). what is the slope of this line in simplest form? m = ?

Explanation:

Step1: Recall the 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 values of (x_1,y_1,x_2,y_2)

Here, ((x_1,y_1)=(3,2)) and ((x_2,y_2)=(5,12)).

Step3: Substitute the values into the slope formula

(m=\frac{12 - 2}{5 - 3}=\frac{10}{2})

Step4: Simplify the fraction

(\frac{10}{2}=5)

Answer:

(5)