Question

You have taken over an abandoned drilling project. After drilling for 2 hours, the depth is 110 feet. After 5 hours, the depth has increased to 114.5 feet. Write an equation in the form y = mx + b to describe the relationship between x, the hours of drilling, and y, the depth of the well.

Answer 1

(2,110)(5,114.5)
slope = (114.5 - 110) / (5 - 2) = 4.5 / 3 = 1.5

y = mx + b
slope(m) = 1.5
use either of ur points..(2,110)...x = 2 and y = 110
now we sub and find b, the y int
110 = 1.5(2) + b
110 = 3 + b
110 - 3 = b
107 = b

so ur equation is : y = 1.5x + 107 <==