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
`x/(4) + y/(3) = 1`

Answer 1

To draw the graph of 3x + 4y = 24 and `x/(4) + y/(3) = 1` follows the steps:
First prepare a table as below

X	-1	0	1
Y = `-(3)/(4) xx + 6`	`(27)/(4)`	6	`(21)/(4)`
Y = `-(3)/(4) xx + 3`	`(15)/(4)`	3	`(9)/(4)`

Now sketch the graph as shown:

From the graph it can verify that the lines are parallel.