The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant's height at any time?
Time (months)
3
5
7
9
Plant Height (cm)
21
35
49
63
(1 point)
7 Oy-21 = 2(x-3)
y-217(x-3)
Oy-3=(x-21)
The relationship is nonlinear.
To find the equation in point-slope form, we need to use the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Since we have two points (3, 21) and (9, 63), we can choose either of them to find the equation. Let's use the point (3, 21).
The slope, m, can be calculated as follows:
m = (y2 - y1) / (x2 - x1)
= (63 - 21) / (9 - 3)
= 42 / 6
= 7
Now, substituting the values into the formula:
y - 21 = 7(x - 3)
Therefore, the correct equation in point-slope form is:
y - 21 = 7(x - 3)