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, -7) and (2, 3) so the slope becomes:

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 - 35 = -y - 5
y² - 35 + 5 = -y
y² + + y - 30 = 0
y² + y - 30 = 0

Next, factor the quadratic equation:

y² + y - 30 = 0
(y - 5)(y + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y + 6) must equal zero:

If (y - 5) = 0, y must equal 5
If (y + 6) = 0, y must equal -6

So the solution is that y = 5 or -6

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.

-2a + 3 = 8 - 8a
-2a = 8 - 8a - 3
-2a + 8a = 8 - 3
6a = 5
a = \( \frac{5}{6} \)
a = \(\frac{5}{6}\)

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

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.

(8a)(2ab) + (8a²)(8b)
(8 x 2)(a x a x b) + (8 x 8)(a² x b)
(16)(a¹⁺¹ x b) + (64)(a²b)
16a²b + 64a²b
80a²b