Question

after 6 weeks a corn plant is 2 ft tall after 9 weeks the plant is 8 ft tall write an equation that represents the height Y in feet of the Corn plant after X weeks

Answer 1

The equation would be y = 2x - 4

Step-by-step explanation:

In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (6, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

m = (8 - 2)/(9 - 6)

m = 6/3

m = 2

Now that we have the slope, we can use either point and point slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = 2(x - 3)

y - 2 = 2x - 6

y = 2x - 4