Skill: slope-intercept

Slope-Intercept Practice

An endless supply of never-repeating y = mx + b problems: read m and b, evaluate, write equations, build from two points, and find x-intercepts.

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.

Score 0 · Streak 0 · Problem 0

Score counts first-try correct answers. Streak counts consecutive correct answers.

Problem

Every problem is generated fresh from templates across several question types — a problem never repeats until its whole pool is used up.

Spot m and b hiding in y = mx + b — including fractions.

y = (2/3)x − 4 → m = 2/3, b = −4

From a slope and intercept — or straight from two points.

m = −1, b = 5 → y = −x + 5

The y-intercept is free; the x-intercept takes one solve.

y = 2x − 6 → x-intercept 3

The mistakes students make most often on these problems.

1. b is not the x-intercept

Wrong: y = 2x − 3 has x-intercept −3. Right: b = −3 is the y-intercept (0, −3).

2. Negative slope drawn backwards

Wrong: y = −2x + 1 climbing right. Right: negative slope falls left to right.

3. Dropping b

Wrong: slope 2 through (0, 5) as y = 2x. Right: y = 2x + 5.