Question

Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0

Answer 1

`(x - 2)/(3) - (y + 1)/(2)` = 0

⇒ `(x - 2)/(3) - (y + 1)/(2)`

⇒ 2(x - 2) = 3(y + 1)
= 2x - 4 = 3y + 3
⇒ 3y = 2x - 7

⇒ y = `(2x - 7)/(3)`

When x = 2, y = `(2(2) - 7)/(3)` = -1

When x = -1, y = `(2(-1) - 7)/(3)` = -3

When x = -2.5, y = `(2(-2.5) - 7)/(3)` = 4

x	2	-1	-2.5
y	-1	-3	-4

Plotting the points (2, -1), (-1, -3) and (-2.5, -4), we get a line AB as shown in the figure.