Question

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

Answer 1

Answer:

$m=3$

Step-by-step 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

$12y=8-4x$

$y=\frac{2}{3}-\frac{1}{3}x$

the slope of the given line is

$m=-\frac{1}{3}$

step 2

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

$m_1*m_2=-1$

$m_1=-\frac{1}{3}$ ---> slope of the given line

$(-\frac{1}{3})*m_2=-1$

$m_2=3$

therefore

The value of m is

$m=3$