13.10 Visualising a table of values
For each of the following linear equations, complete a table of values of the form:
| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y |
For each of the following linear equations, complete a table of values of the form:
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| y |
For each of the following equations:
Complete the table of values.
Plot the points from the table on a coordinate plane.
State whether the relationship is linear or non-linear.
y = 2 x
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = 3 x + 4
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = - x + 2
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = - 4 x + 5
| x | -1 | 1 | 3 | 5 |
|---|---|---|---|---|
| y |
y = 2 x - 4
| x | -2 | 0 | 2 | 4 |
|---|---|---|---|---|
| y |
y = -4 x -1
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
Consider the equation y = \dfrac{3 x}{2} - 2.
Complete the table of values.
Plot the points from the table on a coordinate plane.
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
Consider the equation y = - 3 x.
Complete the table of values.
Use the two points where x = - 1 and x = 1 to sketch the graph of the line.
Does the point \left(0, 0\right) lie on this line?
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
Consider the equation y = 4 x + 5.
Complete the table of values.
Use the two points where x = - 1 and x = 1 to sketch the graph of the line.
Does the point \left(2, 13\right) lie on this line?
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
For each of the following equations:
Complete the table of values.
Use the two points where x = - 1 and x = 1 to sketch the graph of the line.
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = - 2 x + 11
y = \dfrac{5 x}{2} - 3
For each of the following linear equations:
Complete the table of values.
Use the two axes intercepts, where x = 0 and y=0, to sketch the graph of the line.
y = 2 x - 4
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| y |
y = - 2 x + 4
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| y |
y = \dfrac{x}{3} -2
| x | 0 | 2 | 4 | 6 |
|---|---|---|---|---|
| y |
y = \dfrac{5 x}{3} - 5
| x | 0 | 3 | 6 | 9 |
|---|---|---|---|---|
| y |
For each of the following linear equations:
Complete the table of values.
Sketch the graph of the line.
y = x + 4
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = 2 x + 4
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = - 2 x - 2
| x | -3 | 0 | 3 | 6 |
|---|---|---|---|---|
| y |
y = 2 x - 3
| x | -5 | 0 | 5 | 10 |
|---|---|---|---|---|
| y |
y = - \dfrac{3 x}{2} + 6
| x | -1 | 0 | 1 | 3 | 5 |
|---|---|---|---|---|---|
| y |
y = \dfrac{x}{5} + 2
| x | -5 | 0 | 5 | 10 |
|---|---|---|---|---|
| y |