The graph shows a line and two similar triangles.

Option (a) is correct.

The equation of the line is expressed using expression

Step-by-step explanation:

Given : The graph shows a line and two similar triangles.    

We have to find the expression that finds the equation of line.

Since, given two triangles are similar.

So,  Δ ABC ≅ Δ ADE  

Thus, There corresponding sides are in same proportion.

Substitute, we get,

Rearrange, we have,

Also, finding slope of line AE,

Coordinate of B is (4,1) and Coordinate of A is (0,0)

Th equation of line is y = mx + c

Where, m is slope and c is x intercept

Since,

Simplify, we have,

And c = 0

Thus, equation of line is

We re-writing we get,

Thus, The equation of the line is expressed using expression

20

step-by-step explanation:

the probability is 0