How to Find The Slope of a Line Given Two Points

••• Imgorthand/E+/GettyImages

A line's slope, or gradient, describes the extent of its slant. If its slope is 0, the line is completely horizontal and is parallel to the x-axis. If the line if vertical and parallel to the y-axis, its slope is infinite or undefined. The slope on the graph is a visual representation of the variable y's rate of change with respect to x. You can therefore calculate the slope by determining this rate of change from any two points on the line.

    Identify the points' coordinates. For this example, imagine that the points have coordinates of (2, 8) and (4, 3).

    Subtract the second point's y-coordinate from the first's: 8 - 3 = 5.

    Subtract the second point's x-coordinate from the first's: 2 - 4 = -2.

    Divide the difference between the y-coordinates by the difference between the x-coordinates: -2 ÷ 5 = -0.4. This is the line's slope.

Related Articles

How to Find the Midpoint of Coordinates
How to Find the Slope of a Nonlinear Line
How to Find a Parallel Line
How to Figure Out the Slope of a Line
How to Find the Angle of a Curve
How to Find the Inverse of a Given Number
How to Find Y Value for the Slope of a Line
How to Create Linear Equations
How to Calculate the Slope of a Line of Best Fit
How Do You Simplify Your Slope
How to Find the Cross Sectional Area of a Pipe
How to Find the Midpoint of Coordinates
How to Determine the Y-Intercept of a Trend Line
How to Write a Prediction Equation for a Scatter Plot
How to Divide Rational Numbers
How to Calculate Slope Ratio
Characteristics of Aquatic Plants
How to Write Linear Equations in Algebra
To Calculate Arcsine, What Buttons Do You Press on...
How to Calculate Logit

Dont Go!

We Have More Great Sciencing Articles!