Click and drag like terms onto each other to simplify fully.
-2x−2x-7−7-2x−2x+6x^{3}+6x
3
+2x^{3}+2x
3
-7x^{3}−7x
3
+5+5

The answers are as follows:

a) 1/2

b) y - 9 = 1/2(x - 8)

c) y = 1/2x + 5

Step-by-step explanation:

To find the slope of this line, we use the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (4 - 9)/(-2 - 8)

m = -5/-10

m = 1/2

Now that we have the slope, we can use that and either point to write in point-slope form.

y - y1 = m(x - x1)

y - 9 = 1/2(x - 8)

Finally, to get the slope intercept form of the line, take the point slope form and solve for y.

y - 9 = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x + 5