Using the table to sketch the graph of Y=2X+1

Question

Complete the table.

 x              Y=2X+1                (X,Y)          
                                        

-1      ( , )

 0      ( , )

 
 2      ( , )

 

Answer 1

Hi Winston!

 

To complete the table, sub the given x value from column 1 into the linear equation listed in column 2.  This will give you the y value.  You then use this value and the original x value to write the ordered pair for column 3.

 

Let's look at the first one together.x = -1               (Given in column 1.)

 

y = 2x + 1         (Given in column 2.)

y = 2(-1) + 1     (Sub -1 for x.)

y = -2 + 1         (Follow order of operations and multiply 2 x -1.)

y = -1               (Add -2 + 1 to finish solving for y.)

 

(-1, -1)         (Solution for column 3.)

 

Once you have found all 3 (x, y) ordered pairs, you can use these points to graph the line.  Remember to connect the dots and put arrows on the end!

 

Hope that helps!

Kary W.