Calculator for Linear Equation

Formula

For ax + b = 0 with a ≠ 0: x = −b ÷ a. For line in slope-intercept form y = mx + c: slope na m (rise over run), y-intercept na c (value at x = 0), and x-intercept na −c ÷ m (x value where y = 0, when m ≠ 0). If a = 0, equation ax + b = 0 no get solution unless b also 0, in which case every x na solution.

Example wey show the calculation

3x + 6 = 0: x = −6 ÷ 3 = −2. Check: 3 × (−2) + 6 = 0. For line y = 2x + 3: slope na 2 (y rise 2 for each 1 step in x), y-intercept na 3, and x-intercept na −3 ÷ 2 = −1.50. Line cross y-axis at (0, 3) and x-axis at (−1.50, 0).

Where e fit work and limits

This page solve single linear equations in one variable and describe straight lines. E no dey solve quadratics (see quadratic equation calculator), systems of equations (see system of equations calculator), or inequalities — though x-intercept of y = mx + c dey tell you where sign of mx + c change. Inputs na plain numbers; fractions must enter as decimals, and very large or tiny coefficients fit lose precision in display, though underlying arithmetic na standard double precision.

Version of di formula: b0ca1d89e87c · Example don get check: 2026-10-31

Questions wey people dey ask often

Wetin if a = 0?

Then equation na b = 0, which no involve x. If b also 0, every value of x satisfy am (equation na identity). If b not 0, no value of x satisfy am. Page say which case apply instead of dividing by zero.

Wetin slope actually mean?

Rise over run na how much y change when x increase by 1. Slope of 2 mean say y rise 2 for each x step; slope of −0.5 mean say y drop half a unit per x step. Slope of 0 na horizontal line.

How I fit read the x-intercept?

Na where line cross x-axis, i.e. where y = 0. For y = 2x + 3, solving 2x + 3 = 0 give x = −1.50 — same calculation as equation solver, which no be coincidence: intercepts na just solutions of equation.

I fit enter fractions?

Enter dem as decimals (1/2 as 0.5). The page dey show results to two decimals. Repeating decimals like 1/3 go show as 0.33, so keep the fraction form too if you need exact fraction work.

How slope-intercept form differ from standard form?

Slope-intercept form y = mx + c dey show the slope and y-intercept directly. Standard form Ax + By = C na the same line after rearranging: m = −A ÷ B and c = C ÷ B (when B ≠ 0). This page dey use slope-intercept form.

Why e matter to check the answer?

Put the answer back inside the equation to catch sign mistakes, wey dey common for linear equations. For 3x + 6 = 0, x = −2 work because 3(−2) + 6 = 0; x = 2 go give 12, no be 0.

Other tools wey relate to dis

• Calculator for Quadratic Equation — roots of ax² + bx + c = 0
• Calculator for fractions — exact fraction calculations without decimals
• Calculator for percentages — percentage changes and proportions