Step-by-step explanation:
you look at how the line intersects with an integer point.
on the y-axis, the line has a value of -2 so it has a y-intercept value of -2
so the slope formula is rise/run.
As we can see on the graph, there is no line on the graph that truly lines up with a point besides (0,-2)
if we look at all of the slopes
from A,B,C, and D, and there are not any slopes besides d that are on the graph.
y=mx+b
m=slope
b=y-intercept
If we expand the graph a little bit we can see that the point (0,-2) goes up 7 and goes to the left of 4 units.
so the answer is D : y=-7/4x-2
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and since we go up and to the left or we go down and to the right that determines that the slope is negative.
If we started on a point on the y-axis, and started and went up and to the right or down and to the left.
Hope that helps :)
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