Question

What's the equation of the line passing through the points (0,0), (1,1) and (2,2)?

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

Answer 1

The correct option is A $y=x$

We know that,
if a point lies on the line then, the point satisfies the condition of the line.

Now,
considering line $y=x$.

On putting point (0,0) in the line $y=x$,
$\Rightarrow 0=0$

On putting point (1,1) in the line $y=x$,
$\Rightarrow 1=1$

On putting point (2,2) in the line $y=x$,
$\Rightarrow 2=2$

$\because$ All the given points satisfies the condition of line $y=x$.
Thus, all the points lie on the line $y=x$.