Practice Linear Functions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A function whose graph is a straight line, characterized by a constant rate of change between any two points.

Every step right changes y by the same amountβ€”like climbing stairs at a constant pace.

Example 1

easy
Write the equation of a line with slope 2 and y-intercept -3.

Example 2

medium
Find the equation of the line through (1, 3) and (4, 12).

Example 3

medium
Write the equation of a line with slope 3 that passes through (1, 7).

Example 4

easy
What are the slope and y-intercept of y = -5x + 7?

Example 5

hard
Convert 3x + 2y = 12 to slope-intercept form.