Question

After 2 weeks, a plant is 9 centimeters tall. After 5 weeks, it has grown to 15 centimeters. If the plant grows at constant rate of change, find the following equation of the line.​

Answer 1

where is the line or the picture

Answer 2

y = 2x + 5

Explanation:

First, find the slope using rise over run, (y2 - y1) / (x2 - x1)

With this information, we can create 2 points: (2, 9) and (5, 15)

Plug in the points:

(15 - 9) / (5 - 2)

6 / 3

= 2

Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

15 = 2(5) + b

15 = 10 + b

5 = b

Plug in the slope and b into the equation:

y = 2x + 5 is the equation of the line