To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-8a + y = -7a + 7y + 3
-8a = -7a + 7y + 3 - y
-8a + 7a = 7y + 3 - y
-a = 6y + 3
a = \( \frac{6y + 3}{-1} \)
a = \( \frac{6y}{-1} \) + \( \frac{3}{-1} \)
a = -6y - 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, -1) and (2, 3) so the slope becomes:

The formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr²
a = π(5²)
a = 25π

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(4ab) - (3a²)(8b)
(7 x 4)(a x a x b) - (3 x 8)(a² x b)
(28)(a¹⁺¹ x b) - (24)(a²b)
28a²b - 24a²b
4a²b

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 56 as well and sum (Inside, Outside) to equal -15. For this problem, those two numbers are -8 and -7. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 15y + 56
y² + (-8 - 7)y + (-8 x -7)
(y - 8)(y - 7)