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 1. 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, 2) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

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

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 x 5b = (5 x 5) (a x b) = 25ab

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:

c² + 12c + 42 = -c + 2
c² + 12c + 42 - 2 = -c
c² + 12c + c + 40 = 0
c² + 13c + 40 = 0

Next, factor the quadratic equation:

c² + 13c + 40 = 0
(c + 5)(c + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 5) or (c + 8) must equal zero:

If (c + 5) = 0, c must equal -5
If (c + 8) = 0, c must equal -8

So the solution is that c = -5 or -8

When solving an equation with two variables, 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.)

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.