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Question 315055: How to find the equation of the line tha contains the point (-1, 4) and is parallel to the line 2x - 3y = 5.
I can get the slope of the given line. But i am getting lost using the point slope formula once I get to y -4 = 2/3x + 2/3. Could you please work through the entire equation without leaving any step out please.. Thank you so much
Grateful
Sandy
Found 2 solutions by Alan3354, rapaljer:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! How to find the equation of the line tha contains the point (-1, 4) and is parallel to the line 2x - 3y = 5.
I can get the slope of the given line. But i am getting lost using the point slope formula once I get to y -4 = 2/3x + 2/3. Could you please work through the entire equation without leaving any step out please.. Thank you so much
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y -4 = 2/3x + 2/3
You can add 4 to both sides to get y = (2/3)x + 14/3, but it's not necessary. The slope is 2/3, that's all you need to know.
Parallel lines have the same slope.
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Use y = mx + b and the point to find b.
4 = (2/3)*-1 + b
b = 4 - 2/3 = 10/3
Now you have m and b
--> y = (2/3)x + 10/3
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! The solution offered by the OTHER tutor has an error. Where he attempted to solve for b=4-2/3, it should have been b=4+2/3, which would have given a final answer of y=2/3 x + 14/3, NOT 10/3 !!
Dr. Robert J. Rapalje, Retired
If you got to the part of the problem where you had
Next, I recommend clearing the fraction by multiplying both sides by 3:
Finally, in order to get x and y terms on the same side with a positive x coefficient, I would subtract 3y from each side:
Bring the numbers to the left side by subtracting 2 from each side:
 or 
As a check, you may want to plug in the (-1,4) to see if it works:
2x-3y=-14
2(-1)-3(4)=-14
-2-12=-14
It checks.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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