Triangles that could lie on the line graph is triangle C.
How to determine orientation of triangle on a graph.
Let's determine the slope of the line and compare it with slope of each triangle
Given points (4,6) and (-4,-6) on the line.
Slope = change in y/Change in x
Slope,m = -6-6/-4-4
= -12/-8
= 3/2
Let's find slope of each triangle
Option A
Slope = 44/21
Option B
Slope = 36/12
= 3
Option C
Slope = 30/20
= 3/2
Option D
Slope = 52/26
= 2
Triangles that could lie on the line graph is triangle C. The ratio of the rise to run is 3: 2 which is the same with the ratio of rise to run of the line.
Complete question