Graph Lines Using Tables
Ex #1
Functions can be written as two-variable equations. Two-variable equations have INFINITE solutions. We can make a partial list of these solutions in a table. We can then use the table to draw a graph of all of the solutions.
Graph by completing the following table.
x | y
4 |
6 |
| 1
| 0
Plot all four points on the provided graph and connect your points with a line.
Watch this video to see how it's done- 1.6 Graph Lines Using Tables Video
Which of the following points is also on the line ?
Ex #2
Graph 2x + 5y = 15 by completing the following table.
x | y
0 |
2 |
| 2
| 0
Plot all four points on the provided graph and connect your points with a line.
Which of the following points is also on the line 2x + 5y = 15 ?
Problem #1
Graph y = -2x + 1 by completing the following table.
x | y
-4 |
-2 |
| -3
| -7
Plot all four points on the provided graph and connect your points with a line.
Hints:
*to complete the 1st row, plug -4 in for x and solve for y ---> y = -2(-4) + 1
*to complete the 2nd row, plug -2 in for x and solve for y ---> y = -2(-2) + 1
*to complete the 3rd row, plug -3 in for y and solve for x ---> -3 = -2x + 1
*to complete the 4th row, plug -7 in for y and solve for x ---> -7 = -2x + 1
Which of the following points is also on the line y = -2x + 1 ?
Problem #2
Graph 5x - 4y = 20 by completing the following table.
x | y
1 |
4 |
| 2
| 5
Plot all four points on the provided graph and connect your points with a line.
Hint:
*to complete the 1st row, plug 1 in for x and solve for y ---> 5(1) - 4y = 20
5 - 4y = 20
continue for each row
Which of the following points is also on the line 5x - 4y = 20 ?