Calculation Result
Step-by-Step Solution
Coordinate Table
| x | y | Point |
|---|
Interactive Line Graph
Drag to pan. Use the wheel to zoom.Enter Line Information
Calculation History
| Time | Method | Equation | Slope | Y-intercept |
|---|
Formula Used
The slope measures vertical change divided by horizontal change. It shows how quickly a line rises or falls. Use two distinct points to avoid an undefined denominator.
Two-point slope: m = (y₂ − y₁) / (x₂ − x₁)
Y-intercept: b = y − mx
Slope-intercept form: y = mx + b
From Ax + By = C: m = −A/B and b = C/B
How to Use This Calculator
- Select the input method matching your available information.
- Enter integers, decimals, scientific notation, or simple fractions.
- Choose the preferred precision and result display format.
- Set table values, graph range, and comparison options.
- Press Calculate to view equations, steps, graph, and exports.
Example Data
| Input Method | Example Input | Slope | Y-intercept | Equation |
|---|---|---|---|---|
| Two points | (2, 3) and (6, 11) | 2 | −1 | y = 2x − 1 |
| Slope and point | m = −3/4, point (4, 1) | −3/4 | 4 | y = −3x/4 + 4 |
| Standard form | 2x − y = 1 | 2 | −1 | y = 2x − 1 |
Frequently Asked Questions
What does slope represent?
Slope represents the line's rate of change. Positive values rise from left to right. Negative values fall as horizontal values increase steadily.
What is the y-intercept?
The y-intercept is where the line crosses the y-axis. Its x-coordinate always equals zero. In y = mx + b, it is b.
Why can slope be undefined?
A vertical line has no horizontal change. Division by zero makes its slope undefined. Its equation uses x equal to one constant.
Can I enter fractions?
Yes, simple fractions such as 3/4 are accepted. Decimal and scientific notation also work. Results can display fractions, decimals, or both formats.
How are parallel lines identified?
Distinct parallel lines have equal slopes. Their y-intercepts are different. Equal slopes and intercepts describe the same line.
How are perpendicular lines identified?
Nonvertical perpendicular slopes are negative reciprocals. Their product equals negative one. Horizontal and vertical lines are also perpendicular pairs.
What does zero slope mean?
Zero slope describes a horizontal line. Every point has the same y-coordinate. The line never rises or falls across x.
Can this calculator convert equation forms?
Yes, it generates several common linear forms. These include slope-intercept, point-slope, standard, and general forms. Vertical lines receive their correct special equation form.
How accurate are the displayed decimals?
You can select two through ten decimal places. Fractions are simplified using rational approximation. More precision helps when inputs contain repeating decimal values.