Graphing a Line with a Given Point and Slope

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

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.

• 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.

Which is an equation for the line that contains (1, 2) and has a slope of 4?

• y = 2x - 4

• y = -2x + 4

• y = 4x - 2

• y = -4x + 2

Write the equation of the line with slope 5/2 through the point (8, -2).

• y = 5/2x + 18

• y = 5/2x - 18

• y = 5/2x + 22

• y = 5/2x - 22

Write the equation of the line with slope 4 through the point (-2, 5).

• y = 4x - 13

• y = 4x + 13

• y = 4x - 3

• y = 4x + 3

What is the equation of the line that is perpendicular to the line y=2x−3 and passes through the point (−2,6)? **enter equation in slope-intercept form**

Mathematical Equivalence

OFF

Identify the slope and the y-intercept of the graph of the following equation:

• m = 3  and  b = 5

• m = 5  and  b = 3

• m = 3x  and  b = y

• There is no y-intercept.

Determine the equation of the line.