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Question 909082: Find the equation of a line that passes through the points (1/3,4/5) and -5/7,1/4). Put you final answer in standard form (Ax+By=C) and make sure there are no fractions or decimals in the answer and the x term is positive.
So far, I have figured out what the slope would be by using the
m=y2-y1/x2-x1, which gave me -11/20*21/22=21/40(slope)
then I tried using the point slope form and this is where my confusion came in at.
I had Y-4/5=21/40(x-1/3) THEN I subtracted the 4/5 from both sides and came up with Y=21/40x(-1/3+4/5). I don't know what to do from here. Any help would be greatly appreciated
Found 2 solutions by lwsshak3, richwmiller:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of a line that passes through the points (1/3,4/5) and -5/7,1/4). Put you final answer in standard form (Ax+By=C) and make sure there are no fractions or decimals in the answer and the x term is positive.
So far, I have figured out what the slope would be by using the
m=y2-y1/x2-x1, which gave me -11/20*21/22=21/40(slope)
then I tried using the point slope form and this is where my confusion came in at.
I had Y-4/5=21/40(x-1/3) THEN I subtracted the 4/5 from both sides and came up with Y=21/40x(-1/3+4/5).
***
Start with what you did correctly so far:
y-(4/5)=(21/40)(x-1/3)
lcd:40
40y-32=21x-7
21x-40y=-25
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! 1/3,4/5,-5/7,1/4,
y=21/40x+b
find b
4/5=21/40(1/3)+b
b=5/8
y=21/40x+5/8
y=21/40x+25/40
This is slope intercept form
The question asks for standard form.Ax+By=C
So to convert:
Multiply by 40 to get rid of fractions
40y=21x+25
Move y to other side
0=21x-40y+25
Move constant to other side
21x-40y=-25
Now it is in standard form.Ax+By=C
Now to check the answer by plugging in both sets of points.
check
My answer
Substituting x and y
21x-40y=-25
Using point -5/7,1/4
21(-5/7)-40(1/4)=-25
-15-10=-25
-25=-25 TRUE
Using point 1/3,4/5
21(1/3)-40(4/5)=-25
7-32=-25
-25=-25 TRUE
Other tutors answer
63(1/3)-4/5=-75
21-4/5=75
20 1/5=75 FALSE
63(-5/7)-1/4=-75
-45-1/4=75
-46 1/4=75 FALSE
Conclusion: His answer is wrong!
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