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# Slope Intercept form of a Line

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Equation / Last modified by KurtHeckman on 2018/09/13 01:28
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ID

vCalc.Slope Intercept form of a Line

UUID

5c807277-1dcb-11e6-9770-bc764e2038f2

The **Slope Intercept form of a Line **utility provides the slope-intercept form of a line based on the value of two points (x_{1} , y_{1} and x_{2} , y_{2}).

**INSTRUCTIONS:** Enter the following:

- (
**x**) This is the x coordinate of the first point._{1} - (
**y**) This is the y coordinate of the first point._{1} - (
**x**) This is the x coordinate of the second point._{2} - (
**y**) This is the y coordinate of the second point._{2}

**Slope Intercept form of a Line:** The utility returns a string with the slope-intercept form of the line.

#### Related Calculators

- Compute the Slope-Intercept form of a Line based on two points.
- Compute the slope between two points
- Compute the Range value (y) based on the slope-intercept formula of a line and a value of the domain (x).
- Compute the distance between two points
- Compute the slope intercept form of a line from two points
- Compute the mid-point between two points

##### The Math / Science

The** slope intercept form** gives the equation of a line, using the slope (m) and a point on the y-axis (b) as follows:

y = mx + b

The algorithm looks for the following special cases:

- If the two points are the same, no line is formed just a point.
- If the x components are the same, the slope is infinite, and the line has a constant value equal to the x component.
- If the y components are the same, the slope is zero, and the line has a constant value equal to the y component.

With the slope and intercept (b) from the slope intercept formula, you can enter any value of x and get the corresponding value of y on the line.