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

Plugging these values into the slope-intercept equation:

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

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(4²) + 2π(4 x 6)
sa = 2π(16) + 2π(24)
sa = (2 x 16)π + (2 x 24)π
sa = 32π + 48π
sa = 80π

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.

-9z - 6 > \( \frac{z}{7} \)
7 x (-9z - 6) > z
(7 x -9z) + (7 x -6) > z
-63z - 42 > z
-63z - 42 - z > 0
-63z - z > 42
-64z > 42
z > \( \frac{42}{-64} \)
z > -\(\frac{21}{32}\)

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a + 3a = 6a