SOLUTION: find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3

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Question 65209: find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3
Found 2 solutions by funmath, stanbon:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3
In order to find the equation of a line, you need a point and a slope. We were given a point. What about the slope?
Well, parallel lines have equal slopes. Therefore, if we find the slope of the equation of the line that they gave us, we'll have the slope we need.
In order to find the slope of an equation, we need to put the equation into slope-intercept form. highlight%28y=mx%2Bb%29, m=slope.
2x-3y=-3
-2x%2B2x-3y=-2x-3
-3y=-2x-3
-3y%2F-3=-2x%2F-3-3%2F-3
y=%282%2F3%29%2B1 The slope we need is m=2/3
Now that we have a point and a slope, we can find the equation of the line using the point-slope formula: highligh%28y-y1=m%28x-x1%29%29, where m=slope and (x1,y1) is the given point.
m=(2/3) and (x1,y1)=(6,2)
y-2=%282%2F3%29%28x-6%29
3%28y-2%29=3%282%2F3%29%28x-6%29
3y-6=2%28x-6%29
3y-6=2x-12
3y-6%2B6=2x-12%2B6
3y=2x-6
3y%2F3=2x%2F3-6%2F3
y=%282%2F3%29x-2
Happy Calculating!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of a line for this points (6,2) and is parallel to the line 2x-3y=-3
The given line has a slope of m=2/3
The equation you want is y=mx+b where y=2 when x=6 and m=2/3
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2=(2/3)6+b
b=-2
EQUAtiOn:
y=(2/3)x-2
Cheers,
Stan H.