How to Create Linear Equations

Creating linear equations is a part of basic Algebra.
••• BananaStock/BananaStock/Getty Images

A linear equation is almost like any other equation, with two expressions set equal to each other. Linear equations have one or two variables. When substituting values for the variables in a true linear equation and graphing the coordinates, all correct points lie on the same line. For a simple slope-intercept linear equation, one must determine the slope and the y-intercept first. Use a line already drawn on a graph and its demonstrated points before creating a linear equation.

    Follow this formula in making slope-intercept linear equations: y = mx + b. Determine the value of m, which is the slope (rise over run). Find the slope by finding any two points on a line. For this example, use points (1,4) and (2,6). Subtract the x value of the first point from the x value of the second point. Do the same for the y values. Divide these values to get your slope.

    Example: (6-4) / (2/1) = 2 / 1 = 2

    The slope, or m, equals 2. Substitute 2 for m in the equation, so it should now look like this: y = 2x + b.

    Find a point on the line and substitute the values into your equation. For example, for the point (1,4), use the x and y values in the equation to get 4 = 2(1) + b.

    Solve the equation and determine the value of b, or the value at which the line intersects the x-axis. In this case, subtract the multiplied slope and x value from the y value. The final solution is y = 2x + 2.

Related Articles

How to Find Linear Equations
What is Slope Intercept Form?
How to Convert Graphs to Equations
How to Write a Linear Regression Equation
How to Solve Slope-Intercept Form
How to Find Equations of Tangent Lines
How to Find the Slope of a Nonlinear Line
How to Write a Prediction Equation for a Scatter Plot
How to Find X-Intercept & Y-Intercept
How to Find an Equation Given a Table of Numbers
How to Solve for Both X & Y
How to Find the Inequalities From a Graph
How to Find the Vertices of an Ellipse
How to Find a Tangent Line to a Curve
How to Find the Angle of a Curve
How to Calculate the Slope of a Line of Best Fit
How to Find the Slope & the Equation of the Tangent...
How to Find a Parallel Line
How to Find Slope With Two Coordinates

Dont Go!

We Have More Great Sciencing Articles!