SOLUTION: Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

Algebra ->  Points-lines-and-rays -> SOLUTION: Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).       Log On


   



Question 1050493: Indicate the equation of the given line in standard form.
The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( 2, -3 ) and ( -6,5 )
+x%5Bmid%5D+=+%28+-6+%2B+2+%29%2F2+
+x%5Bmid%5D+=+-4%2F2+
+x%5Bmid%5D+=+-2+
and
+y%5Bmid%5D+=+%28+5+%2B%28-3%29+%29%2F2+
+y%5Bmid%5D+=+2%2F2+
+y%5Bmid%5D+=+1+
--------------------------
The midpoint is ( -2,1 )
Use the general point-slope formula
+%28+y+-+1+%29+%2F+%28+x+-%28-2%29+%29+=+9%2F7+
+%28+y-1+%29+%2F+%28+x%2B2+%29+=+9%2F7+
Multiply both sides by +7%2A%28+x%2B2+%29+
+7%2A%28+y-1+%29+=+9%2A%28+x%2B2+%29+
+7y+-+7+=+9x+%2B+18+
+9x+-+7y+=+-25+
---------------------
check answer
Does the line go through ( -2,1 ) ?
+9%2A%28-2%29+-+7%2A1+=+-25+
+-18+-+7+=+-25+
+-25+=+-25+
OK