Question

13. The table shows the height of a plant as it grows. Which equation in point-slope form gives the

plant's height at any time?
Time (months)
Plant Height
(cm)
2
16
4
32
6
48
8
64
Oy - 16 = S(x - 2)
Oy - 16 = 3x - 2
3- 16 = S(x - 2)
The relationship is non-linear

Answer 1

y - 16 = 8(x - 2)

Answer 2

Given:

Table of values.

To find:

The equation in point slope form.

Solution:

From the given table it is clear that, the relationship is linear because the rate of change is constant because if x-value increases by 2 then y-values increases by 16.

Consider any two points from the table, i.e., (2,16) and (4,32).

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

`Slope=(32-16)/(4-2)`

`Slope=(16)/(2)`

`Slope=8`

The point is (2,16) and the slope is 8, so the point slope form is

`y-y_1=m(x-x_1)`

`y-16=8(x-2)`

Therefore, the relationship is linear and point slope form is
`y-16=8(x-2)`.