Question

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3.

What is the equation of the line?
y = 3 x + 3
y = three-fourths x + 3
y = four-thirds x + 3
y = 4 x + 3

Answer 1

Slope = (11 − 3)/(6 − 0) = 8/6 = 4/3. With y-intercept 3, the equation is y = (4/3)x + 3.