Question

Which equation will represent the graph

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

Answer 1

The correct option is D $x=-y+2$

It can be seen easily that $y=2$ when the value of $x=0$ i.e on the $y-axis$

and the slope is $negative$ $\left(\text{angle with POSITIVE x is 135 degree}\right)$ so the equation will $not$ be $x=y-2$

whereas it will be $x=-y+2$ which satisfies $both$ points i.e. at $x=2$ it gives $y=0$

So option D is correct.