Practice Line in Math

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

Quick Recap

A perfectly straight path extending infinitely in both directions through two distinct points, with no thickness.

A perfectly straight edge that goes on forever in both directions.

Example 1

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

Example 2

medium
Find the slope of the line passing through points (1, 3) and (4, 9).

Example 3

easy
What is the slope of a horizontal line? What is the slope of a vertical line?

Example 4

hard
Line \ell_1: y = 3x + 1. Line \ell_2: y = -\frac{1}{3}x + 4. Are these lines perpendicular? Justify your answer.