Answer:
Slope: 
Equation: 
Step-by-step explanation:
The line of the best fit passes through the points (0,8) and (4,6).
If the line passes through the points
and
then the slope of the line is

Hence, the slope of the line of the best fit is

The equation of the line is

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

Given:
The recipe calls for
cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
cup of strawberries for = 1 gallon of lemonade
cup of strawberries for =
gallons of lemonade
=
gallons of lemonade
=
gallons of lemonade
cup of strawberries for =
gallons of lemonade
=
gallons of lemonade
=
gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.
If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

Therefore, each person gets 7/24 of the whole pizza.
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27