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

y² - 2y - 35 = 0
(y + 5)(y - 7) = 0

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

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

So the solution is that y = -5 or 7

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.

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.

5a⁷ - 4a⁷ = 1a⁷

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 42 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -7 and -6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 13y + 42
y² + (-7 - 6)y + (-7 x -6)
(y - 7)(y - 6)

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

Plugging these values into the slope-intercept equation:

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