Question

Write an equation for the function that includes the points ( 1, 4/5) and ( 2, 2/3).

Answer 1

f(x) = -2/15x + 14/15

Explanation:

Slope = (2/3 - 4/5)/(2 - 1)

= (10/15 - 12/15) = -2/15

Plug in a known point (into y=mx+b) to find y-intercept:

4/5 = -2/15(1) + b

12/15 = -2/15 + b

b = 14/15

Formulate:

f(x) = -2/15x + 14/15