How to Find Slope With Two Coordinates

You can find the slope of a line simply by knowing two different points on the line.
••• Jupiterimages/Photos.com/Getty Images

One of the easiest ways to determine the linear equation of a graphed line is to use the slope-intercept formula. The slope-formula is y = mx + b, where x and y are coordinates of a point on a line, b is the y-intercept and m is the slope. The first step to solving the slope intercept formula is to determine the slope. In order to find the slope, you need to know the x and y values for two coordinates on the line.

    Set up the slope equation. The slope is simply the ratio between the change in y over the change of x. This means that to determine the slope, you need an equation that allows you to find this ratio. The easiest equation to use is m = (y2 - y1) / (x2 -x1). This equation determines the ratio and is also easy to remember.

    Plug the values into the slope equation. You can use any two points on the line. Each point will have an x value and a y values. Use these values in your slope equation. For example, using (4,3) and (2,2), you would place them in the equation as follows -- m = (2-3) / (2-4).

    Simplify the equation and solve for m to determine the slope. Use basic addition and subtraction to simplify the ratio. More often than not, your ratio will end up as a fraction. Once you have simplified the equation, you now know the value for the slope between two coordinates. In the example given, (2-3) / (2-4) simplifies to -1 / -2, which simplifies further to 1/2.

Related Articles

How to Convert Angle Degrees to Slope
Characteristics of Aquatic Plants
How to Graph the Y-Intercept as a Fraction
How to Solve Slope-Intercept Form
How to Figure Out the Slope of a Line
How to Find the X Intercept of a Function
How to Create Linear Equations
How to Calculate Runway Slope
What is the Definition of Slope in Algebra?
How to Find Equations of Tangent Lines
How to Divide Rational Numbers
How to Calculate the Midpoint Between Two Numbers
How to Change Mixed Fractions to Improper Fractions
How Do You Simplify Your Slope
How to Calculate Horizontal Distance
How to Calculate Percent Relative Range
How to Convert a Fraction to a Ratio
How to Calculate a Percentage and Solve Percent Problems
How to Calculate the Percentage of Another Number
How to Find The Slope of a Line Given Two Points

Dont Go!

We Have More Great Sciencing Articles!