SOLUTION: Find the equation of the line that passes through the pair of points. (1/3,-1/2) (-1/3, -3) Write your answer in standard form. = 7 I need to kno

Algebra ->  Trigonometry-basics -> SOLUTION: Find the equation of the line that passes through the pair of points. (1/3,-1/2) (-1/3, -3) Write your answer in standard form. = 7 I need to kno      Log On


   

Question 647577: Find the equation of the line that passes through the pair of points. (1/3,-1/2) (-1/3, -3)
Write your answer in standard form.

= 7
I need to know what happens when one has fractions with ordered pairs? I have thought of simplifing and getting rid of the fractions but still I cant solve. Please assist me on understanding and solving this question. Thank you very much for your time.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are no special problems. Just use
standard methods to add and subtract
fractions
given:
(1/3,-1/2) and (-1/3, -3)
Use the general point-slope formula


Multiply both sides by +%28-2%2F3+%29%2A%28+x+-+1%2F3+%29+
+%28-2%2F3%29+%2A%28+y+%2B+1%2F2+%29+=+%28+-6%2F2+%2B+1%2F2+%29%2A%28+x+-+1%2F3+%29+
+%28-2%2F3%29%2Ay+-+1%2F3+=+%28-5%2F2%29%2A%28+x+-+1%2F3+%29+
+%28-2%2F3%29%2Ay+-+1%2F3+=+%28-5%2F2%29%2Ax++%2B+5%2F6++
+%285%2F2%29%2Ax+-+%282%2F3%29%2Ay+=+5%2F6+%2B+1%2F3+
Multiply both sides by +6+
+15x+-+4y+=+5+%2B+2+
+15x+-+4y+=+7+
------------------
check answer
Does it go through the given points?
( 1/3, -1/2 )
+15x+-+4y+=+7+
+15%2A%281%2F3%29+-+4%2A%28-1%2F2%29+=+7+
+5+%2B+2+=+7+
+7+=+7+
OK
( -1/3,-3 )
+15%2A%28-1%2F3%29+-+4%2A%28-3%29+=+7+
+-5+%2B+12+=+7+
+7+=+7+
OK
Hard to keep straight, but it works