SOLUTION: Suppose that a certain strain of pea plant requires 14 days to reach a height of 6 inches and 30 days to reach a height of 16 inches. Write a linear equation in slope-intercept fo

Algebra ->  Linear-equations -> SOLUTION: Suppose that a certain strain of pea plant requires 14 days to reach a height of 6 inches and 30 days to reach a height of 16 inches. Write a linear equation in slope-intercept fo      Log On


   

Question 628623: Suppose that a certain strain of pea plant requires 14 days to reach a height of 6 inches and 30 days to reach a height of 16 inches. Write a linear equation in slope-intercept form that models the height of the plant after x days
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that a certain strain of pea plant requires 14 days to reach a height
of 6 inches and 30 days to reach a height of 16 inches.
Write a linear equation in slope-intercept form that models the height of the plant after x days
:
Assign the given data as follows
x1=14; y1=6
x2=30; y2=16
:
Find the slope: m = %2816-6%29%2F%2830-14%29 = 10%2F16 = 5%2F8 is the slope
:
Use the point/slope formula: y - y1 = m(x-x1)
y - 6 = 5%2F8(x - 14)
y - 6 = 5%2F8x - 8.75
y = 5%2F8x - 8.75 + 6
y = 5%2F8x - 2.75, is the equation