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, -5) and (2, 5) so the slope becomes:

Plugging these values into the slope-intercept equation:

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

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

To solve this equation, 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.

7a - 6 = \( \frac{a}{8} \)
8 x (7a - 6) = a
(8 x 7a) + (8 x -6) = a
56a - 48 = a
56a - 48 - a = 0
56a - a = 48
55a = 48
a = \( \frac{48}{55} \)
a = \(\frac{48}{55}\)

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 - 4)(y - 3)
(y x y) + (y x -3) + (-4 x y) + (-4 x -3)
y² - 3y - 4y + 12
y² - 7y + 12

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

c(c - y)
1(9)(9 - 9)
1(9)(0)
(9)(0)
0