Question

Write and graph according to part A and then interpret the slope as asked in part B. Please help-thanks!

Answer 1

a. We will use the following ordered pairs: P1(0,11) and P2(6,14).

We know that the linear equation is of the form y = mx + b, where m is the slope and b is the y-intercept. Then:

For slope:

`m=(y2-y1)/(x2-x1)=(14-11)/(6-0)=(3)/(6)=(1)/(2)`

For y-intercept: we use the point (0,11)

`\begin{gathered} y=mx+b \\ 11=(1)/(2)(0)+b \\ 11=0+b \\ b=11 \end{gathered}`

So, the linear function is:

`y=(1)/(2)x+11`

Graphing:

b. The slope indicates that the hair length increases by 1/2 inch per month. The y-intercept indicates that the initial hair length is 11 inches.