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

4 is the slope of the red line.

Explanation:

The product of slopes of two perpendicular lines is -1

`m_1* m_2=-1`

Slope of green line =
`m_1=(-1)/(4)`

Slope of red line =
`m_2=?`

`m_1* m_2=-1`

`(-1)/(4)* m_2=-1`

`m_2=(-1)* (4)/(-1)=4`

4 is the slope of the red line.

Answer 2

`\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
`-(1)/(4)`.

First, find the opposite of this.
`-(1)/(4) * -1 = (1)/(4)`

Then, find its reciprocal by flipping the numerator and the denominator.
`(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.