Question

The equation of the line which passes through $(0,0)$ and $(1,1)$ is ____________

• A. $y=x$
• B. $y=-x$
• C. $y=1$
• D. $x=1$

Answer 1

The correct option is A $y=x$

The equation of the line which passes through (0,0) and (1,1) is y=x

As we know, the two points are $(0,0)(1,1)$

slope $m$ $=\frac{y_2-y_1}{x_2-x_1}$ $=\frac{1-0}{1-0}=1$

Standard equation of the line is $y-y_1=m(x-x_1)$

Substituting value of $m=1$ and point $(x,y)=(0,0)$ we get:

$y-0=1(x-0)$

$y=x$ is the required equation of the line