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
`x/(2) + y/(3) = 1`

Answer 1

To draw the graph of 2x - 3y = 6 and `x/(2) + y/(3) = 1` follows the steps:
First prepare a table as below:

X	-1	0	1
Y = `(2)/(3) xx 2`	`-(8)/(3)`	-2	`-(4)/(3)`
Y = `-(3)/(2) xx + 3`	`(9)/(2)`	3	`(3)/(2)`

Now sketch the graph as shown:

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