The table shows the height of a tree as it grows. what equation in slope-intercept form gives the height of the tree at any time?

a) y= 9x+5

b) y= 9/2x+5

c) y= 9/2x

d) y= 5x+9/2

table:

time | height
(month) (inches)
2 | 14

4 | 23

6 | 32

8 | 41

B.

Step-by-step explanation:

The equation of the line in the slope-intercept form is

First, find the slope of the line:

Now, find the y-intecept b:

Hence, the equaiton is

Check all points:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)