Graphing Linear Functions Calculator

Calculator

Choose an input style, set your graph range, and generate a table, equation summary, and line graph.

Input Mode

Slope (m)

Y-Intercept (b)

x1

y1

x2

y2

Point x

Point y

Slope (m)

A

B

C

X Minimum

X Maximum

Table Step Size

Decimal Precision

Evaluate y at x

Example Data Table

This sample uses y = 2x + 1 over a short range.

x	y
-2	-3
-1	-1
0	1
1	3
2	5

Formula Used

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Two-point slope: m = (y2 - y1) / (x2 - x1). Then use b = y1 - mx1.

Point-slope form: y - y1 = m(x - x1). Rearranging gives y = mx + b.

Standard form: Ax + By = C becomes y = (-A/B)x + C/B when B is not zero.

X-intercept: set y = 0 and solve x = -b / m when the slope is not zero.

How to Use This Calculator

Select the input style that matches your known values.
Enter slope and intercept, two points, a point and slope, or standard form coefficients.
Choose the x-range and table step size for the graph window.
Set the decimal precision and optionally evaluate the function at a chosen x-value.
Press Graph Linear Function to show the result above the form.
Review the equation, intercepts, graph, and generated value table.
Use the export buttons to download CSV data or a PDF summary.

FAQs

1. What does the slope show?

The slope shows how much y changes when x increases by one unit. Positive slopes rise, negative slopes fall, and zero slopes create horizontal lines.

2. Why does the calculator reject some two-point entries?

If both points share the same x-value, they form a vertical line. A vertical line is not a function of x, so this calculator blocks it.

3. What is the y-intercept?

The y-intercept is the point where the line crosses the y-axis. It always occurs when x equals zero and is written as (0, b).

4. How is the x-intercept found?

Set y to zero in y = mx + b, then solve for x. For nonzero slopes, the x-intercept equals -b divided by m.

5. Can I use decimals and negative values?

Yes. The calculator accepts whole numbers, decimals, and negative values in every input method, which helps when working with real data or classroom exercises.

6. Why should I adjust the step size?

Step size controls the spacing between x-values in the output table. Smaller steps create more points and finer detail, but larger tables are slower to read.

7. Does the graph update from any input form?

Yes. Every valid method is converted into slope-intercept form internally, then the same graphing and table logic is used for the final display.

8. What do the CSV and PDF downloads include?

The CSV file contains the summary metrics and generated x-y table. The PDF export captures the visible result area, including metrics, graph, and table.