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.

The volume of a cylinder is πr²h:

v = πr²h
v = π(4² x 4)
v = 64π

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.

6a x 6b = (6 x 6) (a x b) = 36ab

The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 8 x 9
v = 504

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 3y - 6 = 5y + 2
y² + 3y - 6 - 2 = 5y
y² + 3y - 5y - 8 = 0
y² - 2y - 8 = 0

Next, factor the quadratic equation:

y² - 2y - 8 = 0
(y + 2)(y - 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 2) or (y - 4) must equal zero:

If (y + 2) = 0, y must equal -2
If (y - 4) = 0, y must equal 4

So the solution is that y = -2 or 4