SOLUTION: If the line ax+y=c is perpendicular to the line x-by=d, then b=?

Question 678242: If the line ax+y=c is perpendicular to the line x-by=d, then b=?
Found 2 solutions by pmatei, MathLover1:
Answer by pmatei(79) (Show Source): You can put this solution on YOUR website!
The slopes of perpendicular lines are opposite reciprocal of each other:
So you need to re-write your line equations in a form that gives you the slope. I will use slope-intercept form:
becomes with
becomes with
Replacing and into the relation between slopes of perpendicular lines:

Thus

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

first write it in slope-intercept form
.......slope is

.......slope is

if a line is perpendicular to the other line , then slopes are negative reciprocals:
so,

and

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