Slope Intercept Form Calculator

Input the required parameters into the calculator and it will readily calculate the equation of the line in slope-intercept form.

Calculate Using the Following:

X₁:

Y₁:

X₂:

Y₂:

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Slope Intercept Form Calculator

The Slope Intercept Form Calculator helps you find the equation of a straight line using two points, a point with a slope, or slope and intercept data. You can also calculate the slope and y-intercept of any linear equation for accurate mathematical results.

What Is Slope Intercept Form?

The slope-intercept form of a linear equation is y = mx + c, where:

m = slope of the line
c = y-intercept (the point where the line crosses the y-axis)

This form clearly shows the steepness and y-axis intersection of the line.

Slope Intercept Formula:

y = mx + b

Where:

m = slope
x, y = coordinates of a point on the line
b = y-intercept (value of y when x = 0)

Note: In some regions, the y-intercept is represented as c, giving y = mx + c.

How to Find the Slope Intercept Form

Example:

Find the slope-intercept form of a line with slope m = 2 and y-intercept c = 5.

Step 1: Identify slope and y-intercept: m = 2, c = 5
Step 2: Substitute values into the formula: y = mx + c

y = 2x + 5

Graph:

Slope Intercept Form Graph

Use a simple slope calculator to find the slope between two points. Not all equations are linear; some may describe curves.

Examples of Slope-Intercept Form

Question	Solution
Points (-2, -4) with slope 4	Slope-intercept form: y = 4x + 4 Step-by-step: y + 4 = 4(x + 2) y + 4 = 4x + 8 y = 4x + 4
Slope unknown, point (5, -5)	Slope, m = -1 Step-by-step: m = (0 - (-5)) / (0 - 5) = 5 / -5 = -1
Slope m = 5, y-intercept = 8	y = 5x + 8 Step-by-step: Substitute m and c into y = mx + c → y = 5x + 8
Find c for y = 2(x - 1)² + 5 at x = 0	y = 2(0 - 1)² + 5 = 2 + 5 = 7