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slavikrds [6]
2 years ago
15

What slope is perpendicular to m=4/5

Mathematics
2 answers:
Yuliya22 [10]2 years ago
8 0

Answer:

m = -5/4

Step-by-step explanation:

Perpendicular slope is the negative opposite reciprocal of a slope.

MrRa [10]2 years ago
4 0

Step-by-step explanation:

a perpendicular slope is the negative reciprocal

so the perpendicular slope is -5/4

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)
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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

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so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3

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