How Do You Graph a Linear Equation From a Table?

How Do You Graph a Linear Equation From a Table?

Note:

A table of values for a linear equation can be very helpful, but a graph of the equation can be even better! In this tutorial, you'll see how to use a table of values to graph a linear equation!

Keywords:

  • practice
  • problem
  • table
  • values
  • linear
  • equation
  • graph
  • line
  • plot
  • points

Background Tutorials

  • Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

      • What is the Coordinate Plane?What is the Coordinate Plane?

      What is the Coordinate Plane?

      You can't graph a function or plot ordered pairs without a coordinate plane! Learn about the coordinate plane by watching this tutorial.

  • Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

      • What is an Ordered Pair?What is an Ordered Pair?

      What is an Ordered Pair?

      Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!

  • Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

      • How Do You Graph Ordered Pairs in Each Quadrant?How Do You Graph Ordered Pairs in Each Quadrant?

      How Do You Graph Ordered Pairs in Each Quadrant?

      Plotting points on the coordinate plane is the foundation for graphing equations! Check out this tutorial to get some practice plotting points and identifying which quadrant each point is in.

  • Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

      • What is a Linear Equation?What is a Linear Equation?

      What is a Linear Equation?

      If you're learning about graphs, you're bound to see a bunch of linear equations, so it's a good idea to understand what makes an equation a linear equation. This tutorial explains linear equations and shows you the difference between equations that are linear and ones that are not. Check it out!

Further Exploration

  • Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

      • How Do You Graph a Linear Equation by Making a Table?How Do You Graph a Linear Equation by Making a Table?

      How Do You Graph a Linear Equation by Making a Table?

      Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!