Practice Linear Relationship in Math

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

Quick Recap

A relationship where quantities change at a constant rate, graphing as a straight line.

Add the same amount each step. Like paying \10$/monthβ€”increase is constant.

Example 1

easy
A taxi charges a \3 base fee plus \2 per mile. Write the equation for total cost \(C\) in terms of miles \(m\). Identify slope and y-intercept.

Example 2

medium
Two points on a line are \((1, 5)\) and \((3, 11)\). Find the equation of the line in \(y = mx + b\) form.

Example 3

easy
For the equation \(y = 4x - 1\), find \(y\) when \(x = 3\) and \(x = 0\).

Example 4

medium
Points \((0, -2)\) and \((4, 6)\) lie on a line. Find the equation in \(y = mx + b\) form.