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 0. 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, -3) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x + 0

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.

-3c + 6x = c + 9x - 7
-3c = c + 9x - 7 - 6x
-3c - c = 9x - 7 - 6x
-4c = 3x - 7
c = \( \frac{3x - 7}{-4} \)
c = \( \frac{3x}{-4} \) + \( \frac{-7}{-4} \)
c = -\(\frac{3}{4}\)x + 1\(\frac{3}{4}\)

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

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 - 5)(y + 6)
(y x y) + (y x 6) + (-5 x y) + (-5 x 6)
y² + 6y - 5y - 30
y² + y - 30

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

9a x 4b = (9 x 4) (a x b) = 36ab