Question
Asked Nov 20, 2019
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find the equation of the line passing through the point ( 2,3) and perpendicular to the line 2y = 6 - 3x

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Expert Answer

Step 1

In the given question it is required to calculate the equation of line passing through (2,3) and perpendicular to the line 2y = 6 – 3x

Since, it is required to find the slope of given line.

If a line is in the form y = mx + c then m is the slope.

So, slope of given line is:

2y 6-3x
y-3
-3
-x+3
2
3
—х—D у-
2
-3
slope (m)
2
help_outline

Image Transcriptionclose

2y 6-3x y-3 -3 -x+3 2 3 —х—D у- 2 -3 slope (m) 2

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Step 2

If a line is perpendicular to another line then the p...

slope of required line(m,) x slope of given line(m)
-1
=
-3
т,
2
2
slope of required line(m)
3
help_outline

Image Transcriptionclose

slope of required line(m,) x slope of given line(m) -1 = -3 т, 2 2 slope of required line(m) 3

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Advanced Math