Question

Draw a graph of each of the following equations: 3y + 2x = 11

Answer 1

3y + 2x = 11
⇒ 3y = 11 - 2x

⇒ y = `(11 - 2x)/(3)`

When x = 1, y = `(11 -2(1))/(3)` = 3

When x = -2, y = `(11 -2(-2))/(3)` = 5

When x = -5, y = y =  `(11 -2(-5))/(3)` = 7

x	1	-2	-5
y	3	5	7

Plotting the points (1, 3), (-2, 5) and (-5, 7), w get a line AB as shown in the figure.