Question

Use the graphical method to find the value of k, if:
(k, -3) lies on the straight line 2x + 3y = 1

Answer 1

2x + 3y = 1
⇒ 3y = 1 - 2x
⇒ y = `(1 - 2x)/(3)`
The table for 2x + 3y = 1 is

X	- 1	2	5
Y	1	- 1	- 3

Plotting the above points in a graph, we get the following graph:

From the above graph, it is clear that k = 5