Steps to Graphing Equations

Where would your first dot go to graph this equation?  y=3x-4

• negative 4 on y-axis

• negative 4 on x-axis

• positive 3

• positive 3 on y-axis

Where would we begin?

• put a point on -3

• rise 2 run 1

• rise 2 run 3

• put a point on 2

What are the steps to graphing this line?

• rise 3 run 2

• put a point at 1, then rise 2 run 2

• put a point at 1, then rise 3 run 2

• put a point at 0, then rise 2 run 2

What is the order of the steps in graphing a slope-intercept equation?

• 1. Plot the y-intercept

  2. Use the slope to plot two more points

  3. Connect the dots to make a line

• 1. Plot the slope

  2. Add two points using the y-intercept

  3. Connect the dots to make a line

• 1. Start with the slope.

  2. Add the y-intercept.

  3. Make a line

• 1. Move with m

  2. Begin with b

  3. Leave with a line

• y = 2x + 5
• y = -2x - 5
• y = -2x + 5
• y = 5x - 2

Graph. y = 2/3x - 3

• a

• b

• c

• d

What are the steps for graphing the equation, y=2x-5 on a coordinate plane?

• Step 1:  Plot the first point on the y-axis at (0, -5).
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the x-axis at (-5, 0). 
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the y-axis at (0, -5).  
  
  Step 2:  From the starting point, go UP 1 : RIGHT 2 to plot the next point.

• Step 1:  Plot the first point on the x-axis at (0, -5).  
  
  Step 2:  From the starting point, go UP 2 : RIGHT 5 to plot the next point.

When graphing a line in slope-intercept form, where will you start?

• On the x-axis at the x-intercept

• On the y-axis at the y-intercept

• Anywhere on the graph works

• Step 1:  Plot the first point on the y-axis at (0, 3).

  
  

  Step 2:  From the starting point, go DOWN 2 : RIGHT 1 to plot the next point.
  

• Step 1:  Plot the first point on the y-axis at (3, 0).

  
  

  Step 2:  From the starting point, go DOWN 3 : RIGHT 1 to plot the next point.
  

• Step 1:  Plot the first point on the y-axis at (0, -3).
  
  Step 2:  From the starting point, go UP 2 : RIGHT 1 to plot the next point.

• Step 1:  Plot the first point on the y-axis at (0, 3).
  
  Step 2:  From the starting point, go UP 1 : RIGHT 2 to plot the next point.

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form