SOLUTION: Write the standard form of the equation of the line through the pair of points (10,1) and (−3,4).  Write the equation using only integer coefficients.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the standard form of the equation of the line through the pair of points (10,1) and (−3,4).  Write the equation using only integer coefficients.      Log On


   



Question 1066013: Write the standard form of the equation of the line through the pair of points (10,1) and (−3,4).  Write the equation using only integer coefficients.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the standard form of the equation of the line through the pair of points (10,1) and (−3,4).  Write the equation using only integer coefficients.
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Step 1, find the slope.
Slope, m = diffy/diffx
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Step 2, use y - y1 = m*(x - x1) where m = slope and (x1,y1) is either point.
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Step 3, rewrite it in any form you like.
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step 4, remember tutoring is teaching you how to do it. It's not doing it for you.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula
( 10, 1 )
( -3, 4 )
+%28+y+-+4+%29+%2F+%28+x+-%28-3%29+%29+=+%28+1+-+4+%29+%2F+%28+10+-%28-3%29+%29+
+%28+y+-+4+%29+%2F+%28+x+%2B+3+%29+=+-3+%2F+13+
+y+-+4+=+%28+-3%2F13+%29%2A%28+x+%2B+3+%29+
+13y+-+52+=+-3%2A%28+x+%2B+3+%29+
+13y+-+52+=+-3x+-+9+
++3x+%2B+13y+=+43+
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check:
does it go through ( 10, 1 ) ?
++3x+%2B+13y+=+43+
++3%2A10+%2B+13%2A1+=+43+
+30+%2B+13+=+43+
OK
You can check other point