Question

Which equation does the graph below represent?
y=1/3+x
y=1/3x
y=3+x
y=3x

Answer 1

Lets find 2 points, one obvious one is (0,0), another point is (12,4)


`Slope = (4-0)/(12-0) =(4)/(12) = (4* 1)/(4* 3) = (1)/(3)`

y = mx + b

m is the slope

we got m = 1/3

We can eliminate answer choices C and D.

y = 1/3x + b

we need to solve for b

Plug in the point (0,0) and solve for b

0 = 1/3(0) + b

0 = 0 + b

b = 0

The equation of the line is y = 1/3x + 0, or y = 1/3x

Your answer is B.