4 years ago, age of a mother was 3 times the age of her daughter. Write a linear equation to represent this situation and draw its graph.

present age of daughter be x years.

4 years ago age of daughter was (x - 4) years

Let present age of mother be y years.

∴ Mother’s age, 4 years ago = (y - 4) years

According to the question:

y - 4 = 3(x - 4)

⇒ y - 4 = 3x - 12

⇒ 3x - y = 8

x | 1 | 2 | 3 |
---|---|---|---|

y | -5 | -2 | 1 |