Draw the graph of 2x – 3y = 4. From the graph, find whether x = -1, y = -2 is a solution or not. (Final)

Question

Philoid · Accepted Answer

Given equation, 2x – 3y = 4

⇒ 3y = 2x-4

When x=-4, then,

⇒ y = -4

When x=-1, then,

⇒ y = -2

When x=2, then,

⇒ y = 0

When x=5, then,

⇒ y = 2

Thus we have the following table,

X	-4	-1	2	5
Y	-4	-2	0	2

On plotting these points we have the following graph,

Clearly, from the graph (-1, -2) is the solution of the line 2x – 3y = 4