Question

Which of these equations represent the graph?

Answer 1

D.
`y=(-2)/(3)x + 2`

Explanation:

All of these answer choices are in slope intercept form:

`y=mx+b`

where
`m` is the line's slope and
`b` is its y-intercept.

First, we'll find the line's slope using the points
`(-3,4)` and
`(0, 2)`.

`m=\frac{\textrm{rise}}{\textrm{run}} = (2-4)/(0-(-3)) = (-2)/(3)`

Then, plug that
`m`-value into the slope intercept form equation:

`y = (-3)/(2) + b`

Next, find the y-value at which the line crosses the y-axis:

`b=2`

Finally, plug that
`b`-value into the slope intercept form equation and look at which answer choice the equation we solved for matches.

D.
`y=(-2)/(3)x + 2`