Grade 8 Math · Functions

Build a linear function from data

Write the linear function with the given rate and initial value.

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What you’ll learn

Write the linear function with the given rate and initial value.

Key idea

Use the rate as m and the initial value as b in a linear equation.

Worked example

Write the linear function with the given rate and initial value.

rate = 3, initial value = 1

  1. y = 3x + 1

Answer: y = 3x + 1

Quick Check

Analyze the proposed student response. Choose Correct or Incorrect.

input/output table Student response: y = -1x - 5

Given values
xy
-2-3
-1-4
0-5
1-6
Choose one answer

Show a hint

Find the constant rate, then find the output when the input is zero.