Question

Which of the following linear equations has its graph passing through origin ? * x+y=1 y=0.2x y=2 y=2x+1​

Answer 1

none of them do. pic of graph uploaded below

Answer 2

y = 0.2x  go through origin

Given:

• Equations of line
• x + y = 1
• y = 0.2x
• y = 2
• y = 2x + 1

To Find:

• Linear equations having its graph going through origin

Solution:

• Origin coordinates are (0 , 0)
• Any point lying on a line satisfy the equation of the line
• Hence (0 , 0) will satisfy the equation of line which goes through origin

Substitute x = 0 and check if y = 0 or not ?

Step 1:

x + y = 1

=> 0 + y = 1

=> y = 1

as y ≠ 0 when x = 0

Hence, x+y=1  does not go through origin

Step 2:

y = 0.2x

=> y = 0.2(0)

=> y = 0

as y = 0 when x = 0

Hence, y = 0.2x  go through origin

Step 3:

y=2

as y ≠ 0   for any value of x

Hence,  y=2  does not go through origin

Step 4:

y=2x+1​

=> y = 2(0) + 1

=> y = 1

as y ≠ 0 when x = 0

Hence, y=2x+1​  does not go through origin

y = 0.2x  go through origin