Graphing a Line Given Slope and Y Intercept

Write the slope-intercept form of the equation of the line through the given point with the given slope:

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

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.

Determine the equation of the line.

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Which value is the slope in the equation: y= 4x + 2

• 4

• 2

• x

Which value is the y-intercept in the equation:

y= 2x -2

• 2

• -2

• 1

The y intercept is AWESOME! It helps us to know...

• Where our line will end.

• If our line is positive or negative.

• Where to start graphing our line.

This line has a __________ slope.

• Negative

• Positive

• Undefined

• No Slope