The table shows the height of a plant as it grows.

Question

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

Answer 1

2 14 difference column below
******** 14
4 28
******** 14
6 42
******** 14
8 56

oh my, whenever the month changes by 2, the height changes by 14
so the slope is m = 14 cm/ 2 months = 7 cm/month
so
h = 7 t + b
what is b?
well the first point is at 2 months, and the height is amazingly 14
so I claim it started at 0 height when t was zero (tiny seed)
so
h = 7 t
the end