Respuesta :
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