Question
Asked Oct 1, 2019
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Line L in the figure below is parallel to the line y=3x+2. Find the coordinates of the point P

P=

 

y3x+2
L
(8,-4)
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y3x+2 L (8,-4)

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Expert Answer

Step 1

First we find the slope of the given line:

 

comparing y = 3.x + 2 with y = mx+c , we get
slope m 3
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comparing y = 3.x + 2 with y = mx+c , we get slope m 3

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Step 2

Since parallel lines have equal slopes, therefore slope of the line L is also 3.

Hence the equation of line L is 

y 3xcwhere c is any constant
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y 3xcwhere c is any constant

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Step 3
Line L passes through the point (0, -4)
Therefore substituting x = 0 and y =-4 in y 3x+c, we get
-4 3(0)c
c-4
:. Equation of line L is,
y 3x-4
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Line L passes through the point (0, -4) Therefore substituting x = 0 and y =-4 in y 3x+c, we get -4 3(0)c c-4 :. Equation of line L is, y 3x-4

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