The table shows the height of a plat as it grows. which equation in point slope form gives the plat's height at any time?
Time ( month) Plant Height ( cm)
3 21
5 35
7 49
9 63
To find the equation in point-slope form, we need to determine the slope and a point on the line.
To find the slope, we need to find the change in height divided by the change in time between any two points on the line. Let's choose the points (3, 21) and (5, 35). The change in height is 35 - 21 = 14 and the change in time is 5 - 3 = 2. Therefore, the slope is 14/2 = 7.
We can choose any point on the line, so let's choose (3, 21) as our point.
Now we can use the point-slope form of an equation, which is: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Putting in the values, we have: y - 21 = 7(x - 3).
So the equation in point-slope form that gives the plant's height at any time is: y - 21 = 7(x - 3).