Question

The table shows the height of a plant as it grows. What equation in point-slope form gives the plant’s height at any time?

Answer 1

Answer:

Slope is 3/4

Equation in slope intercept form is given by: $y=\frac{3}{4}x+9$

Step-by-step explanation:

Pick any two points from the table say (4,12) and (8,15).

Slope is given by formula:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-12}{8-4}=\frac{3}{4}$

Now plug the value of slope m=3/4 and any point say (4,12) into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-12=\frac{3}{4}\left(x-4\right)$

$y-12=\frac{3}{4}x-3$

$y=\frac{3}{4}x-3+12$

$y=\frac{3}{4}x+9$

Hence final answer in slope intercept form is $y=\frac{3}{4}x+9$