Graphing Linear Equations

Enter Your Equation

Linear Equation

Accepts slope-intercept, standard form, point-slope, x = c, or y = c

Examples

Key Features

Enter a linear equation above and press Graph It to see the slope, intercepts, sample points, and a full coordinate-plane graph.

Equation (Slope-Intercept)

Slope (m)

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Slope Type

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Y-Intercept

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X-Intercept

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Two Points on the Line

Three Forms of a Linear Equation

Slope-Intercept: y = mx + b Standard Form: Ax + By = C Point-Slope: y − y₁ = m(x − x₁)

Slope-Intercept (y = mx + b) is the most common — m is the slope and b is the y-intercept. Best when you need to graph quickly or compare two lines.

Standard Form (Ax + By = C) is handy for finding both intercepts fast: set y = 0 for x-intercept, set x = 0 for y-intercept.

Point-Slope (y − y₁ = m(x − x₁)) is perfect when you know the slope and one point but not the y-intercept. Common when writing equations from graphs.

All three forms describe the exact same line — they're just different ways of writing it.

Step-by-Step Graphing Method

You only need two points to draw any line. Here's the fastest method:

Step 1 — Find the y-intercept. Set x = 0 and solve for y. Plot (0, b).
Step 2 — Use the slope. From (0, b), move rise units up/down and run units right. Plot that second point.
Step 3 — Connect. Draw a straight line through the two points and extend it past both.
Step 4 — Label. Mark the x- and y-intercepts and write the equation near the line.

For vertical lines (x = c): plot a single x-value and draw straight up and down. No slope, no y-intercept (unless c = 0).

Graphing equations still tricky?