Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 3, - 4)
m =
=
= 3
Answer:
Step-by-step explanation:

The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
Answer: -18
<u>Explanation:</u>
Average rate of change is slope:
. Need to find the y-coordinates:
g(x) = -x² - 4x
g(6) = -(6)² - 4(6)
= -36 - 24
= -60
⇒ (6, -60)
g(8) = -(8)² - 4(8)
= -64 - 32
= -96
⇒ (8, -96)
m = 
= 
= -18