Question

a. Write an equation in slope-intercept form for the line of best fit that is drawn.b. Then interpret the slope and y-intercept.

Answer 1

(a)The line of best-fit drawn intercepts the y-axis at 60.

To determine the slope, we use the points (3,65) and (8,70).

`\text{Slope}=\frac{Change\text{ in y}}{\text{Change in x}}=(70-65)/(8-3)=(5)/(5)=1`

Therefore, an equation for the line in slope-intercept form is: y=x+60

(b)Since the y-intercept = 60, we have that the initial graduation rate is 60% and it increases at a rate of 1% per year.

(c)To determine the graduation rate in 2020

2020 - 1998 = 22

x=22

Therefore, the graduation rate in 2020 will be:

y=22+60

y=80%