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Perpendicular lines, slope is opposite and reciprocal. so if the slope of line c is -4 then the slope of line d will be 1/4


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The slope of line d is 1/4.

Given that,

Lines c and d are perpendicular and if the slope of line c is -4.

We have to determine,

What is the slope of line d?

According to the question,

The slope of line d is determined by using properties of two perpendicular lines following all the steps given below.

If the two lines are perpendicular and the slope first line is m then the slope of another line will be -1/m.

Lines c and d are perpendicular and if the slope of line c is -4.

Therefore,

The slope of line d is,

[tex]\rm m_2 = \dfrac{-1}{m_1}\\\\ m_2 = \dfrac{-1}{-4}\\\\m_2 = \dfrac{1}{4}[/tex]

Hence, the slope of line d is 1/4.

To know more about Slope click the link given below.

https://brainly.com/question/12895249

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