Answer:
D
Explanation:
It crosses the y-axis at y=1 so the y-intercept is b=1.
The slope is count straight up from (-5,-2) to you are on the same horizontal level as (5,4). The rise is 6
Once you get the same horizontal level as (5,4), you will count straight over to you get to (5,4). The run is 10.
Slope=rise/run=6/10=3/5.
Or you could find slope by using the slope formula. I like to line up two pairs of points and subtract then put 2nd difference over first difference. Like so,
(5,4)
-(-5,-2)
----------
10 6
So the slope is 6/10 or 3/5 after reducing.
Slope-intercept form of a line is y=mx+b
Plug in m=3/5 and b=1
y=3/5 x +1
So the answer is D.