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?
time (months) Plant Height (cm)
2 14
4 28
6 42
8 56


56

(y - 14) = 7 (x - 2)

y=7x

So I wonder which one is right ??

To find the equation in point-slope form that gives the plant's height at any time, we need to use the given data to determine the slope and a point on the line.

First, let's find the slope (m) using the formula:

m = (change in y)/(change in x)

In this case, the change in y represents the change in plant height, and the change in x represents the change in time. Taking any two points from the table, we can calculate the slope:

m = (28 - 14)/(4 - 2) = 14/2 = 7

The slope of 7 indicates that for every 1 month increase in time, the plant's height increases by 7 cm.

Next, we can choose any point from the table to substitute into the point-slope form equation. Let's use the point (2, 14):

The equation in point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point and m is the slope.

Substituting the values, we get:

y - 14 = 7(x - 2)

Simplifying further:

y - 14 = 7x - 14

OR

y = 7x

Therefore, the equation in point-slope form that gives the plant's height at any time is y = 7x.