Question

Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12

Answer 1

2x + 3y = 12
⇒ 3y = 12 - 2x

⇒ y = `4 - (2)/(3) x`

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

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

When x = 6, y = `4 - (2)/(3)(6)` = 0

x	3	-3	6
y	2	6	0

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

The line meets the x-axis at (6, 0) and y-axis at (0, 4).