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, -1) and (2, 1) so the slope becomes:

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 + 9)(y - 6)
(y x y) + (y x -6) + (9 x y) + (9 x -6)
y² - 6y + 9y - 54
y² + 3y - 54

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.

-3z - 7 = -5 + 5z
-3z = -5 + 5z + 7
-3z - 5z = -5 + 7
-8z = 2
z = \( \frac{2}{-8} \)
z = -\(\frac{1}{4}\)

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.

-a + 4 < \( \frac{a}{8} \)
8 x (-a + 4) < a
(8 x -a) + (8 x 4) < a
-8a + 32 < a
-8a + 32 - a < 0
-8a - a < -32
-9a < -32
a < \( \frac{-32}{-9} \)
a < 3\(\frac{5}{9}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.