Question

HELP ASAP

The graph shows a function of the form f(1) = ax + b.
Use the drop-down menus to complete the statements about the function, and then
write an equation that represents this function

Answer 1

The equation of the function: y = mx + b

• m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
• b = y-intercept = -3

Therefore, the equation is f(x) = 2x - 3

When x = 0, f(x) = 2(0) - 3 = -3

When x increases by 1, f(x) increases by 2 (slope = the rate of change)