Question

Which of the inear equations represents the graphed line?

Answer 1

B.
`y = (2)/(3) x+1`

Explanation:

the y-intercept of the line = 1

a point on the graph: (3, 3)

to find the slope, we need to find the
`(rise)/(run)` between the y-intercept and (3, 3)

rise/run = the change in y values / change in x values

(0, 1) and (3, 3)

1 --> 3 = 2

0 --> 3 = 3

`(rise)/(run) = (2)/(3)`

slope (m) =
`(2)/(3)`

y-intercept (b) = 1

y = mx + b

so the equation of the line of this graph would be
`y = (2)/(3) x+1`