Question

Draw a graph of each of the following equations: 5x + 2y = 16

Answer 1

5x + 2y = 16
⇒ 2y = 16 - 5x

⇒ y = `(16 - 5x)/(2)`

When x = 2, y = `(16 - 5(2))/(2)` = 3

When x = 4, y = `(16 - 5(4))/(2)` = -2

When x = 6, y = `(16 - 5(6))/(2)` = -7

x	2	4	6
y	3	-2	-7

Plotting the points (2, 3), (4, -2) and (6, -7), we get a line AB as shown in the figure.