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.

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

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.

-6x + 8 = \( \frac{x}{-8} \)
-8 x (-6x + 8) = x
(-8 x -6x) + (-8 x 8) = x
48x - 64 = x
48x - 64 - x = 0
48x - x = 64
47x = 64
x = \( \frac{64}{47} \)
x = 1\(\frac{17}{47}\)

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.

(3a)(3ab) - (6a²)(6b)
(3 x 3)(a x a x b) - (6 x 6)(a² x b)
(9)(a¹⁺¹ x b) - (36)(a²b)
9a²b - 36a²b
-27a²b

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 9 + 3 + 2
p = 22