Answer:
The answer is below
Step-by-step explanation:
The general form of a line is given by:
Ax + By + C = 0
The slope intercept form of a line is give by:
y = mx + b;
where m is the slope and b is the y intercept
Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:
By = -Ax - C
y = (-A/B)x - C/B
The slope is -A/B
For a line with equation Bx - Ay + C = 0:
Ay = Bx + C
y = (B/A)x + C/A
the slope is B/A
Two lines are said to be perpendicular if the product of the slopes is -1. Hence:
-A/B * B/A = -1; hence the two lines are perpendicular
