Are the lines perpendicular? Motivate your answer.
Two lines are perpendicular if the product of their slopes is . In other words,
We start by determining the lines' slope or gradient. We can call the blue line for line 1 and the red line for line 2. The blue line falls 2 steps down and one step to the right. As a a result, the slope is
The red line's slope is calculated by dividing the difference in the direction between the two points on the line with the difference in the direction. The second line's slope then becomes
Finally, we multiply the values with each other.
The product was not , so the lines are not perpendicular to each other.