Question

Draw a graph of each of the following equations: 3x - 2y = 6

Answer 1

3x - 2y = 6
⇒ 2y = 3x - 6

⇒ y = `(3x - 6)/(2)`

when x = 2, y = `(3(2) - 6)/(2)` = 0

when x = 4, y = `(3(4) - 6)/(2)` = 3

when x = 2, y = y = `(3(-2) - 6)/(2)` = -6

x	2	4	-2
y	0	3	-6

Plotting the point (2, 0), (4, 3) and (-2, -6), we get a line AB as shown in the figure.