Question

The graph of an equation is shown below. Which of the following points is a solution to the equation?

Answer 1

Answer:

A is correct

Step-by-step explanation:

The given graph is equation of straight line.

x-intercept: (1,0)

y-intercept: (0,1)

Equation of line:

x + y = 1

Option A: (0,1)

Put x=0 and y=1 into equation

0 + 1 = 1

   1 = 1

True

Option B: (1,1)

Put x=1 and y=1 into equation

1 + 1 = 1

   2 ≠ 1

False

Option C: (1,2)

Put x=1 and y=2 into equation

1 + 2 = 1

   3 ≠ 1

False

Option D: (1,-2)

Put x=1 and y=-2 into equation

1 - 2 = 1

   -1 ≠ 1

False

Answer 2

B is the correct answer