Question

Sketch a graph of lines $y=-3$and $x=-3$. Are the lines perpendicular?

Short answer

Yes, the graph$x=-3$ and$y=-3$ are perpendicular to each other.

Step-by-step solution

Step 1. Concept of perpendicular lines.

The two lines are said to be perpendicular if the angle between the line is ${90}^{\circ }$.

Step 2. Plotting the graph. 

Graph for $y=-3$and $x=-3$are

Step 3. Conclusion.

As we know, the x-axisand y-axis are perpendicular to each other and $x=-3$and $y=-3$ are parallel to thex and y-axis respectively. So,$x=-3$ and$y=-3$ are perpendicular to each other.