If a line through the origin has a slope of 2, what is the slope of the line through the origin that is perpendicular to
1 answer:
Answer:
Step-by-step explanation:
We have the slope value of the first line, we will call this
so
And we use the <u>condition </u>so that two lines are perpendicular: the product of the two slopes must be equal to -1.
That is, if the slope of the first line is and the slope of the second line is :
we know that , so:
and clearing for :
the slope of the line perpendicular to the line with a slope of 2 is:
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