Line Equation Practice
An endless supply of never-repeating line-equation problems with instant feedback. Write y = mx + b from data, convert between the three forms, and read slope and intercept — one problem at a time.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.
How to enter answers
- Slope-intercept: start with
y=, likey=2x+3ory=-3/4x+1. Spacing and capitalization do not matter. - Standard form: like
2x-y=-3or3x+4y=12. Any nonzero multiple counts. - Vertical line: like
x=-3. - Slope or intercept: an integer, fraction (
-1/2), or decimal (0.5). - Word problems: a plain number (a
$sign is fine).
2 What you’ll practice
Every problem is generated fresh from 10 templates across three question types — a problem never repeats until its whole pool is used up.
Write the equation
From a slope and intercept, a slope and a point, or two points. Point-slope is the stepping stone; slope-intercept is the destination.
Read m and b
Given y = mx + b, name the slope or the y-intercept — and don’t mix them up. Horizontal and vertical edge cases included.
Convert forms
Turn slope-intercept into standard form Ax + By = C (integers, A > 0), and model real situations like taxi fares.
3 Watch out for these
The three mistakes students make most often with line equations.
Wrong: through (−1, 2) with slope 2 → y − 2 = 2(x − 1). Right: y − 2 = 2(x − (−1)) = 2(x + 1). Parenthesize first.
Wrong: in y = 4x − 2, “the slope is −2.” Right: m = 4 (attached to x); b = −2 (the constant).
Wrong: leaving y − 5 = 2(x − 1) when slope-intercept was asked. Right: simplify to y = 2x + 3.