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# Slope intercept form Calculator

Enter the values in the below calculator. Hit the ** Calculate** button to get the slope intercept form of a line using

**equation.**

*y=mx+b*Slope intercept form calculator is an online tool that is used to find slope intercept form (equation of line) using two points, y-intercept, or one point and slope.

## What is slope intercept form?

Slope intercept is a form of linear equation that can be used to find the equation of a straight line with y intercept and slope of line.

## Slope intercept formula

The slope intercept equation can be represented as:

**y = mx + b**

Where,

represents the*x, y*and*x*coordinates,*y*is slope of line, and*m*is y intercept.*b*

The equation of slope intercept varies in USA and UK. In UK, variable ** c** is used to represent y-intercept.

**y = mx + c**

## How to find the slope intercept form (equation of a straight line)?

To find equation of a straight line with slope and y-intercept, follow the example below.

*Example:*

Find the Straight line equation if y-intercept is ** 6** and slope is

*4.***Solution:**

**Step 1: **Identify the values.

*b = 6*

*m = 4*

**Step 2: **Write the slope form equation and place the values.

**y = mx + b**

**y = 4x + 6**

If you need to calculate the slope using two points, use slope calculator.

## Examples of Slope Intercept form

Questions | Results |

Points of line: (3, -4) (12, 6) |
y = 1.11x - 7.33
m = (y m = (6 - (-4))/(12 - 3) = 10/9 m = 1.11
y = mx + b 6 = 1.11(12) + b b = -7.33
y = 1.11x + (-7.33) y =1.11x - 7.33 |

slope = 15 and point = (6, -12) |
y = 15x - 102
y = mx + b -12 = 15(6) + b b = -102
y = mx + b y = 15x + (-102) y = 15x - 102 |

Slope = m = 9 y-intercept form = 6 |
y = 9x + 6
substitute slope and y-intercept form to the general equation of slope intercept form to calculate it. y = mx + b y = 9x + 6 |

Coordinate point: (-3, 12) and (6.-8) |
y = -2.22x +5.34
m = (y m = (-8 - 12))/(6 - (-3)) = -20/9 m = -2.22
y = mx + b -8 = -2.22(6) + b b = 5.34
y = -2.22x + 5.34 |

### References

- Khan Academy. (n.d.).
*Intro to slope-intercept form (Y=mx+b) | algebra (video).*Retrieved january 4, 2020 from Khan Academy. - Alamo.edu. (2020). Slope Intercept Formula. Retrieved 4 january 2020.