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Answers:</h3><h3>
x intercept is (-5, 0)</h3><h3>
y intercept is (0, -17.5)</h3>
side note: the fraction -35/2 is equivalent to the decimal form -17.5
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Explanation:
The x intercept is (-5, 0) as shown in the second row of the table. The x intercept happens when y = 0.
Let's use two of the points in the table to find the slope of the line. I'm going to use the first two rows of points.
m = slope
m = (y2 - y1)/(x2 - x1)
m = (0 - 7)/(-5 - (-7))
m = (0 - 7)/(-5 + 7)
m = -7/2
Plug that into the y = mx+b equation to get
y = mx+b
y = (-7/2)x + b
Now plug in one of the points from the table. I'll use the first row so x = -7 and y = 7 are plugged in to get
y = (-7/2)x + b
7 = (-7/2)*(-7) + b
7 = 49/2 + b
7 - 49/2 = b .... subtract 49/2 from both sides
14/2 - 49/2 = b
-35/2 = b
b = -35/2
b = -17.5
The y intercept is at (0, -17.5)
