Question

Pls help meeeee I only have 5 mins left use the graph from number 3 to anwser number 4

Answer 1

Answer:

Option C

Step-by-step explanation:

From the graph attached,

Slope of the line passing through two points A and B will be,

m = $\frac{\text{Rise}}{\text{Run}}$

   = $\frac{12}{8}$

   = $\frac{3}{2}$

Triangles having same ratio of Height and base (slope) will lie on the line graphed.

Option A

Slope pf the triangle  = $\frac{44}{21}$

$\frac{3}{2}\neq \frac{44}{21}$

Slope of the line ≠ Slope of the triangle

Therefore, triangle will not lie on the line.

Option B

Slope of the triangle = $\frac{36}{12}=\frac{3}{1}$

$\frac{3}{2}\neq \frac{3}{1}$

Triangle will not lie on the line.

Option C

Slope of the triangle = $\frac{30}{20}= \frac{3}{2}$

Since, slope of the line = slope of the triangle

$\frac{3}{2}= \frac{3}{2}$

Triangle will lie on the line.

Option D

Slope of the triangle = $\frac{52}{26}=\frac{2}{1}$

But $\frac{3}{2}\neq \frac{2}{1}$

Therefore, triangle will not lie on the given line.