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

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

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:

z² + 7z - 2 = 2z + 4
z² + 7z - 2 - 4 = 2z
z² + 7z - 2z - 6 = 0
z² + 5z - 6 = 0

Next, factor the quadratic equation:

z² + 5z - 6 = 0
(z - 1)(z + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 6) must equal zero:

If (z - 1) = 0, z must equal 1
If (z + 6) = 0, z must equal -6

So the solution is that z = 1 or -6

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.

(5a)(9ab) + (6a²)(3b)
(5 x 9)(a x a x b) + (6 x 3)(a² x b)
(45)(a¹⁺¹ x b) + (18)(a²b)
45a²b + 18a²b
63a²b

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 < sign and the answer on the other.

8c - 9 < 5 + 9c
8c < 5 + 9c + 9
8c - 9c < 5 + 9
-c < 14
c < \( \frac{14}{-1} \)
c < -14