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 -3. 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, -6) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x - 3

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 perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 11cm + 11cm = 27cm

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

z² + 2z - 35 = 0
(z - 5)(z + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z + 7) must equal zero:

If (z - 5) = 0, z must equal 5
If (z + 7) = 0, z must equal -7

So the solution is that z = 5 or -7

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.)