Question

The equation of the line passes through all the points given in the below table is

• A. y = 4x + 1
• B. y = x + 1
• C. y = 2x + 3

Answer 1

The correct option is A y = 4x + 1

In the equation y = 2x + 3:

$\text{Put x = 0, we get}y=2\times 0+3=3$
This does not satisfy the point (0,1).

∴ The equation y = 2x + 3 will not pass through all the points mentioned in the table.

Considering the straight line with the equation y = x + 1, we get:

$\text{Put x = 0, we get}y=0+1=1$
$\text{Put x = 1, we get}y=1+1=2$
This does not satisfy the point (1,5)

∴ The equation y = x + 1 will not pass through all the points mentioned in the table.

Next equation is y = 4x + 1

$\text{Put x = 0, we get}y=4\times 0+1=1$,
which satisfy the point (0,1)

$\text{Put x = 1, we get}y=4\times 1+1=5$,
which satisfy the point (1,5)

$\text{Put x = 2, we get}y=4\times 2+1=9$,
which satisfy the point (1,9)

$\text{Put x = 3, we get}y=4\times 3+1=13$,
which satisfy the point (3,13)

Hence, y = 4x + 1 is the equation of the line passes through the points given in the table.

Plotting the points, we get: