Question

Write a linear function f with f (5) = 7 and f (-2) = 0

Answer 1

Answer: y = x + 2

Explanation:

Determine points

We can use f (5) = 7 and f (-2) = 0 to write two points.

(5 , 7) & (-2 , 0)

Find Slope

Slope = (y₂ - y₁) ÷ (x₂ - x₁)

= (7 - 0) ÷ (5 - (-2))

= 1

Write the equation

equation in point-slope form (y - y₁) = m (x - x₁)

(y - 0) = 1 (x - (-2))

y = x + 2