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

Plugging these values into the slope-intercept equation:

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

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

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 - 8z + 5 = -2z - 3
z² - 8z + 5 + 3 = -2z
z² - 8z + 2z + 8 = 0
z² - 6z + 8 = 0

Next, factor the quadratic equation:

z² - 6z + 8 = 0
(z - 2)(z - 4) = 0

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

If (z - 2) = 0, z must equal 2
If (z - 4) = 0, z must equal 4

So the solution is that z = 2 or 4

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:

(y - 6)(y - 3)
(y x y) + (y x -3) + (-6 x y) + (-6 x -3)
y² - 3y - 6y + 18
y² - 9y + 18