Objective:

To use the slope-intercept form to graph linear equations.

Vocabulary:

Notes:

Steps to sketch the line:

  1. Solve the equation for y (get y by itself) (if needed).
  2. Plot the y-intercept, b, on the y-axis
  3. Use the slope to plot a few more points.
    • Remember: n 1

Examples:

Sketch each line:

  1. 8x − 4y = 12
    • Ex 1
    • Now that the equation is in slope-intercept form you know that the slope is 2 and the y-intercept is −3.
    • Plot the y-intercept on the y-axis.
    • Use the slope to plot a few more points.
      • The positive slope tells us that the line will go up.
    • Ex 1



  2. 3x + 4y − 12 = 0
    • Ex 2
    • Now that the equation is in slope-intercept form you know that the slope is −3/4 and the y-intercept is 3.
    • Plot the y-intercept on the y-axis.
    • Use the slope to plot a few more points.
      • The negative slope tells us that the line will go down.
    • Ex 2



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email: michelle@agriesti.net