Question

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

Answer 1

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).

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

$Slope=\dfrac{32-16}{4-2}$

$Slope=\dfrac{16}{2}$

$Slope=8$

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 $y-16=8(x-2)$.