Mathematics
On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other ?
Answer
The given equations are y = 2x - 1, y = 2x and y = 2x + 1.
Make a table (as given below) for the different pairs of the values of x and y:
| x | -2 | 0 | 4 |
|---|---|---|---|
| y = 2x - 1 | -5 | -1 | 7 |
| y = 2x | -4 | 0 | 8 |
| y = 2x + 1 | -3 | 1 | 9 |
Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.
Yes, the lines drawn are parallel to each other.