Question
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.$2x - 3y = 6,\frac{x}{2}+\frac{y}{3}=1$
✓
Answer
To draw the graph of $2x - 3y = 6$ and $\frac{x}{2}+\frac{y}{3}=1$ follows the steps:
First prepare a table as below:
Now sketch the graph as shown:
From the graph it can verify that the lines are perpendicular.
First prepare a table as below:
| $X$ | $-1$ | $0$ | $1$ |
| $Y=\frac{2}{3} \times 2$ | $-\frac{8}{3}$ | $-2$ | $-\frac{4}{3}$ |
| $Y=-\frac{3}{2} \times+3$ | $\frac{9}{2}$ | $3$ | $\frac{3}{2}$ |
From the graph it can verify that the lines are perpendicular.
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