At the beining, he has 76
that is at x=0
y=mx+76
find m
given
when x=2, y=100
find m
100=2m+76
minus 76 both sides
24=2m
divide both sides by 2
12=m
the equatin is
y=12x+76
It should be |-80+15|=65 units because absolute value makes it positive.
Answer:
- The two solutions are:

- The next and every step are below.
Explanation:
1.
: Given (addition property / add - 3 to both sides)
2.
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

5. Divide both sides by - 2 to get the next expression:

6. The last step is to extract squere root from both sides of the equality:

Answer:
4
Step-by-step explanation:
Plug in the standard deviation formula. This is new to me but it took some research.. Hope it helps