Question

draw two different triangles that could be used to find the slope of this line.

Explanation:

Step1: Identify two points on the line

The line passes through (0,0) and (4,10).

Step2: Calculate slope using slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 0}{4 - 0} = \frac{10}{4} = \frac{5}{2}$.

Step3: Pick another pair of points

The line also passes through (2,5) and (6,15).

Step4: Recalculate slope for verification

Slope $m = \frac{15 - 5}{6 - 2} = \frac{10}{4} = \frac{5}{2}$.

Answer:

The slope of the line is $\frac{5}{2}$. Two triangles can be formed by the points (0,0)-(4,0)-(4,10) and (2,0)-(2,5)-(6,5)-(6,15) (simplified as right triangles with rise over run).