Question

the lines shown below are perpendicular. if the green has a solpe of -1/4, what is the slope of the red line?
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Answer 1

$\huge{\boxed{4}}$

The slope of a perpendicular line is the opposite reciprocal of the given line's slope.

The slope of the green line is $-\frac{1}{4}$.

First, find the opposite of this. $-\frac{1}{4} * -1 = \frac{1}{4}$

Then, find its reciprocal by flipping the numerator and the denominator. $\frac{4}{1} = \boxed{4}$

This means the slope of the red line is $\boxed{4}$.

Note: You forgot to attach the graph of the shown lines, but given the slope of one line, I was able to find the slope of the other, knowing that the two lines are perpendicular, which makes an X formation.

Answer 2

Answer:

4 is the slope of the red line.

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1

$m_1\times m_2=-1$

Slope of green line  = $m_1=\frac{-1}{4}$

Slope of red  line = $m_2=?$

$m_1\times m_2=-1$

$\frac{-1}{4}\times m_2=-1$

$m_2=(-1)\times \frac{4}{-1}=4$

4 is the slope of the red line.