Question

The table shows the height of a tree as it grows. What equation in slope-intercept form gives

the tree's height at any time?
Time Height
(months) (inches)
2 14
4 23
6 32
8 41

Answer 1

B. y=9/2x+5

Explanation:

I just took the test the other guy that answer gave something that wasnt even an option on the multiple choice.

Answer 2

`y=4.5x+5`

Explanation:

The slope of the line passing through the points
`(x_1,y_1)` and
`(x_2,y_2)` is

`(y_2-y_1)/(x_2-x_1)`

The line passes through the points (2,14) and (4,23), then its slope is

`(23-14)/(4-2)=(9)/(2)=4.5`

The equation of the line in slope-intercept form is

`y=mx+b,`

wher m is the slope and b is y-intercept.

Thus, the equation is

`y=4.5x+b`

This line passes through the point (2,14), its coordinates satisfy the equation, so

`14=4.5\cdot 2+b\\ \\9+b=14\\ \\b=14-9\\ \\b=5`

Hence, the equation is

`y=4.5x+5`