Answer:
12
Explanation:
The slope of function 1 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-14.5 -(-9.25))/(6 -3) = -5.25/3 = -1.75
The y-intercept is given by ...
b = y1 -m(x1)
b = -9.25 -(-1.75)(3) = -9.25 +5.25 = -4
The y-intercept of Function 1 is -4.
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The slope of Function 2 can be found by looking for points where the graph crosses intersections of the grid lines. One of those is the x-intercept, (-4, 0). Another is over 1 and up 2 from that, (-3, 2). The slope of function 2 is then ...
m = rise/run = 2/1 = 2
We can use the formula for the y-intercept with point (-4, 0):
b = y1 -m(x1)
b = 0 -(2)(-4) = 8
The y-intercept of Function 2 i s 8.
The difference between the y-intercepts is (8 -(-4)) = 12.