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What is the slope of a line perpendicular to the line whose equation is x-2y=-8 Fully simplify your answer.

What is the slope of a line perpendicular to the line whose equation is x-2y=-8 Fully-example-1
User Scootklein
by
2.5k points

1 Answer

11 votes
11 votes

Answer:


-2

Explanation:

The perpendicular slope is the opposite of the reciprocal of the original slope. So, let's find the slope of this line! I will put it in slope-intercept form (y = )


x-2y=-8\\-2y=-8-x\\y=4+(1)/(2) x\\y=(1)/(2) x+4

Here, I see that the slope of the line is
(1)/(2). The reciprocal of
(1)/(2) is 2. The opposite of 2 is
-2. The slope of the perpendicular line is
-2!

User Ahmad Arslan
by
3.2k points
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