Answer:
To graph the function, we need to first find the slope of the line passing through the given points:
slope = (change in y) / (change in x) = (1 - (-8)) / (10 - (-5)) = 9 / 15 = 3/5
Now we can use the point-slope form of the equation of a line to write the equation of the line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the given points. Let's choose the point (10, 1):
y - 1 = (3/5)(x - 10)
Simplifying, we get:
y = (3/5)x - 17/5
Now we can use this equation to complete the table:
x y
-5 -11/5
-3 -7/5
0 -17/5
2 -13/5
5 -7/5
7 -1/5
10 1
To graph the function, we can plot the points from the table and draw a straight line passing through them.