Question

5.

1. which of the following triangles could lie on the line graphed in question #3?

a.
b.
c
d.

Explanation:

Step1: Find the slope of the line

The line passes through the origin \((0,0)\) and \((2,4)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=0,x_2 = 2,y_2 = 4\), so \(m=\frac{4-0}{2 - 0}=2\).

Step2: Check the slope of the triangles (rise over run)

For option A: \(\frac{44}{21}\approx2.095\)
For option B: \(\frac{36}{12}=3\)
For option C: \(\frac{30}{20}=1.5\)
For option D: \(\frac{52}{26}=2\)

Answer:

D.