Question

Which among the following lines represent the equation y = 2x+1?

• A. Line 1
• B. Line 2
• C. Line 3
• D. None of the above

Answer 1

The correct option is A Line 1

The given equation: $y=2x+1$

Consider x =1, we get:
$y=2x+1$
$=2\times \left(1\right)+1$
$=2+1$
$=3$

Consider x =2, we get:
$y=2x+1$
$=2\times \left(2\right)+1$
$=4+1$
$=5$

Consider x =3, we get:
$y=2x+1$
$=2\times \left(3\right)+1$
$=6+1$
$=7$

Therefore, the line y = 2x + 1 would include the points (1,3), (2,5) and (3,7)

Finding the points (1,3), (2,5) and (3,7) on the graph, we get:


So, line 1 represents the given equation y=2x + 1