graph line inequality calculator

Enter the slope and y-intercept to visualize the inequality.

Slope (m)

Y-Intercept (b)

Inequality Sign

Please enter valid numbers for Slope and Intercept.

Results

Inequality: –

Boundary Line: –

Shading Region: –

Test Point (0,0): –

Understanding Linear Inequalities

A linear inequality looks like a linear equation, but instead of an equals sign, it has an inequality symbol (<, >, ≤, ≥). The solution to a linear inequality is a region of the coordinate plane, rather than just a single line.

Slope-Intercept Form

This calculator uses the slope-intercept form: y = mx + b. Here, 'm' represents the slope (steepness) of the line, and 'b' represents the y-intercept (where the line crosses the vertical y-axis).

How to Graph an Inequality

Graph the Boundary Line: First, plot the line as if the inequality were an equation (y = mx + b). If the inequality is "strict" (< or >), draw a dashed line. If it includes equality (≤ or ≥), draw a solid line.
Choose a Test Point: Pick a point not on the line, usually (0,0), to see if it satisfies the inequality.
Shade the Region: If the test point makes the inequality true, shade the side of the line containing that point. If it is false, shade the opposite side.