Question

the table shows the height of a plant as it grows. what equation in point slope form gives the plants height at any time

time(months)/height(cm)
3/15
5/25
7/35
9/45​

Answer 1

Answer:

$y - 15 = 5(x-3)$

Step-by-step explanation:

Equation of a line:

The equation of a line, in point slope form, is given by:

$y - y_0 = m(x - x_0)$

In which the point is $(x_0,y_0)$ and m is the slope.

3/15

This means that $x_0 = 3, y_0 = 15$

So

$y - 15 = m(x - 3)$

Finding the slope:

Suppose we have two points. The slope is given by the change in the output divided by the change in the input.

3/15

5/25

Change in the output: 25 - 15 = 10

Change in the input: 5 - 3 = 2

So

$m = \frac{10}{2} = 5$

The equation is:

$y - 15 = 5(x-3)$