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Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6

Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6
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3 votes
Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6

User Diarmid Mackenzie
by
7.8k points

2 Answers

0 votes
you use the point slope formula
y-y1=m(x-x1)
y-14=2/3(x-3)
y-14=2/3x-2
+14 +14
y=2/3x+12
User Deepak Agrawal
by
8.1k points
5 votes
y=mx+b
m=slope

paralell ines have same slope
y=2/3x-6
slope is 2/3

the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12
User Treefrog
by
8.4k points
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