Question

The graph shows a line and two similar triangles.

Answer 1

me dony know

Explanation:

Answer 2

Option C. is the correct option.

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 =
`((y-y'))/((x-x'))`

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

m =
`(7-3)/(3-0)=(4)/(3)`

Since (0, 3) passes through the line

3 = 0 + c

c = 3

Equation of the line will be

`y=(4)/(3)x+3`

Option C. is the answer.