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:

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.

(8a)(9ab) - (8a²)(9b)
(8 x 9)(a x a x b) - (8 x 9)(a² x b)
(72)(a¹⁺¹ x b) - (72)(a²b)
72a²b - 72a²b
0a²b

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 4² + 6²
c² = 16 + 36
c² = 52
c = \( \sqrt{52} \)

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.

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.

-7a - 8y = 6a + 9y - 8
-7a = 6a + 9y - 8 + 8y
-7a - 6a = 9y - 8 + 8y
-13a = 17y - 8
a = \( \frac{17y - 8}{-13} \)
a = \( \frac{17y}{-13} \) + \( \frac{-8}{-13} \)
a = -1\(\frac{4}{13}\)y + \(\frac{8}{13}\)