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.$3x + 4y = 24,\frac{x}{4}+\frac{y}{3}=1$
✓
Answer
To draw the graph of $3x + 4y = 24$ and $\frac{x}{4}+\frac{y}{3}=1$ 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 parallel.
First prepare a table as below
| $X$ | $-1$ | $0$ | $1$ |
| $Y=-\frac{3}{4} \times+6$ | $\frac{27}{4}$ | $6$ | $\frac{21}{4}$ |
| $Y=-\frac{3}{4} \times+3$ | $\frac{15}{4}$ | $3$ | $\frac{9}{4}$ |
From the graph it can verify that the lines are parallel.
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