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Which of these equations represent the graph?

Which of these equations represent the graph?-example-1
User PhD AP EcE
by
2.7k points

1 Answer

20 votes
20 votes

Answer:

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

User Mstef
by
3.0k points
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