Question

Values of x and y Representing a Linear Function
x y

11 58
20 103
Write the equation of the linear function that models the relationship shown in the table

Answer 1

Slope m = (103−58)/(20−11) = 45/9 = 5.
Use y = mx + b with one point: 58 = 5(11) + b → 58 = 55 + b → b = 3.

Equation: y = 5x + 3 (or f(x) = 5x + 3).