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3 votes
The graph of 4x+12y=8 and y=Mx+5 are perpendicular. What is the value of m

User Yet
by
6.0k points

1 Answer

2 votes

Answer:


m=3

Explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Find the slope of the given line

we have


4x+12y=8

isolate the variable y


12y=8-4x


y=(2)/(3)-(1)/(3)x

the slope of the given line is


m=-(1)/(3)

step 2

Find the slope
m_2 of the perpendicular line to the given line


m_1*m_2=-1


m_1=-(1)/(3) ---> slope of the given line


(-(1)/(3))*m_2=-1


m_2=3

therefore

The value of m is


m=3

User Rene Barbosa
by
4.7k points
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