Given
The equation is given y=x+ 1.
Step-by-step explanation
To determine the other equation in the option which has same coordinate as the given equation that is (0, 1).
Check the options,
a. x-y=1.
Substitute the points and check the equation .
0-1 is not equal to 1.
The equation is not satisfied.
b. 2x+ 2y=4.
Substitute the points and check the equation.
2(0)+ 2(1) =2
2 is not equal to 4.
The equation is not satisfied.
c. x+ y=0
Substitute the points and check the equation.
(0)+ (1) =1
1 is not equal to 0.
The equation is not satisfied.
d. x+2y=2.
Substitute the points and check the equation.
(0)+ 2(1) =2
2 is equal to 2.
The equation is satisfied.
Answer
Hence the correct option is d.