Question

the lines represented by the equation X = Y and X =-Y are

Answer 1

because x=y. both same

Answer 2

Answer:

The correct option is C: perpendicular to each other

Step-by-step explanation:

The given lines are $x=y$ and $x=-y$.

For the line $x=y$:

$\begin{array}{llllllll}\mathrm{x} & 0 & 1 & -1 & -2 & 2 & 3 & -3\end{array} \\ \begin{array}{llllllll}\mathrm{y} & 0 & 1 & -1 & -2 & 2 & 3 & -3\end{array}$

For the line $x=-y$:

$\begin{array}{llllllll}\mathrm{x} & 0 &\; 1 & -1 & -2 & 2 & 3 & -3\end{array} \\ \begin{array}{llllllll}\mathrm{y} & 0 & -1 & 1 & 2 & -2 & -3 & 3\end{array}$

Now we will plot these points on a graph, we will get the graph as shown in the picture below. In the graph both the lines intersect at zero and make an angle of $90^{\circ}$ with each other.

Therefore, both the lines are perpendicular to each other.

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