Slope Intercept Form Calculator

Work out slope intercept form instantly with clear inputs, formula shown and shareable results.

About Slope Intercept Form Calculator

Slope-intercept form y = mx + c shows the gradient and the y-intercept directly. Setting y = 0 gives the x-intercept at −c/m, provided the line is not horizontal.

Formulas

Slope-intercept form

y = mx + c

x-intercept

x = −c / m

Worked example

With the default values below, Slope Intercept Form Calculator returns y at your x of 11.00000000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Gradient m: 3
y-intercept c: -4
Evaluate y at x =: 5

Results

y at your x: 11.00000000
Equation: y = 3x - 4
x-intercept (0 if horizontal): 1.33333333
Angle to the x-axis: 71.565051 °

Step by step

1Values used
2Slope-intercept form
3x-intercept
4y at your x= 11.00000000
5Equation= y = 3x - 4
6x-intercept (0 if horizontal)= 1.33333333
7Angle to the x-axis= 71.565051 °

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

For y = 3x − 4 at x = 5?

y = 11, and the x-intercept is 4/3 ≈ 1.3333.

What does a gradient of zero mean?

A horizontal line y = c, which never crosses the x-axis unless c is also zero.