What is the linear equation for the following set of data?

Question

Answer 1

(5,95) and (10,135) have a line through them with slope = 40/5 = 8

y=8x + b is the line, solve for b by plugging in any pair of (x,y) = (h,p) such as (5,95)

95 =8(5) + b

b =55

y=8x +55 is the equation for the line or

P=8H +55 with hours measured on the x axis and Pay on the y axis

or

P(h) = 8h+55

or

f(x) = 8x+55

check it by plugging in any other pair of hours and pay such as (25,225)

255 = 8(25)+55 = 200+55

or

215 =8(20) +55 =160+55

175 =8(15) +55 = 120+55

135= 8(10) +55 = 80+55

95 =8(5) + 55 = 40+55