Skip to Main Content

Module 8: Linear Equations and Linear Systems

Table of Values

This is a plug and solve method. As a linear equation is usually applicable to all x values, we can figure out coordinate points at specific x values and plot them on the grid, creating the traceable form of the linear equation. This method assumes the linear equation is available.

Tutorial 34: How to Graph Using Table of Values Method

Example:

y = 2 x + 1 {"version":"1.1","math":"y=2x+1 "}

  1. Create a table with x values as one column and y values as the other.
    X Y

     

     
  2. Pick 4-5 x values and fill the x column in. Plug each x value into the equation separately and solve for the corresponding y value. This will give different coordinates that correspond to the shape of the linear equation.
    X Y

    0

    1

    2

    3

    1

    3

    5

    7

    y = 2 x + 1 {"version":"1.1","math":"y=2x+1 "}

    y = 2 ( 0 ) + 1 {"version":"1.1","math":"y=2(0)+1"}

    y = 0 + 1 {"version":"1.1","math":"y=0+1"}

    y = 1 {"version":"1.1","math":"y=1"}

  3. Use a Cartesian plane to plot the points. Remember, the x axis is horizontal, while the y axis is vertical axis. Draw the line by connecting the dots and extend the line in both directions.

Connect with us