Question

which of the following points lies on the line y = x + 1
a)(2,1)
b)(1,2)
c)(3,2)
d)(0,0)

Answer 1

Answer:

I am sure that number(b) .............

Answer 2

Given,

Equation :  y = x + 1

To Find,

Points that lie on the line=?

Solution,

Points given = (2,1) (1,2) (3,2) (0,0)

Putting values of x and y one by one in the given equation.

Point(2,1) ⇒ 1= 2 + 1

Point(2,1) ⇒ 1 ≠ 3

LHS ≠  RHS, point(2,1) does not lies on the line.

Point(1, 2) ⇒ 2 = 1 + 1

Point(2,1) ⇒ 2 = 2

LHS = RHS, point(1,2) lies on the line.

Point(3,2) ⇒ 2= 3+ 1

Point(3,2) ⇒ 2≠ 4

LHS ≠  RHS, point(3,2) does not lies on the line.

Point(0,0) ⇒ 0= 0+ 1

Point(0,0) ⇒ 0≠ 1

LHS ≠  RHS, point(0,0) does not lies on the line.

Hence, only point (1,2) lies on the line  y = x + 1. Option(b) is the correct answer.