Question

The graph shows a line and two similar triangles.

Answer 1

Answer:

Option C. is the correct option.

Step-by-step explanation:

The given line in the graph passes through two points (0, 3) and (3, 7).

We have to find the equation of the line.

Since y = mx + c is the standard equation of a line

where m = slope of the line

c = y - intercept

Slope of a line m = $\frac{(y-y')}{(x-x')}$

Now we put the values of x and y to find the slope of this line.

m = $\frac{7-3}{3-0}=\frac{4}{3}$

Since (0, 3) passes through the line

3 = 0 + c

c = 3

Equation of the line will be

$y=\frac{4}{3}x+3$

Option C. is the answer.