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, 4) so the slope becomes:

Plugging these values into the slope-intercept equation:

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

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

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.

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² + 7c - 18 = 0
(c - 2)(c + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 2) or (c + 9) must equal zero:

If (c - 2) = 0, c must equal 2
If (c + 9) = 0, c must equal -9

So the solution is that c = 2 or -9