A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -3) and (2, -1) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x - 2

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 8)(y - 8)
(y x y) + (y x -8) + (8 x y) + (8 x -8)
y² - 8y + 8y - 64
y² - 64

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 1 x 3 = \( \frac{3}{2} \) = 1\(\frac{1}{2}\)

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-c + 8y = -6c + 5y + 9
-c = -6c + 5y + 9 - 8y
-c + 6c = 5y + 9 - 8y
5c = -3y + 9
c = \( \frac{-3y + 9}{5} \)
c = \( \frac{-3y}{5} \) + \( \frac{9}{5} \)
c = -\(\frac{3}{5}\)y + 1\(\frac{4}{5}\)