SOLUTION: (-5,-2),(3,-1) write and equation of the line that passes through the pair of points

Algebra ->  Linear-equations -> SOLUTION: (-5,-2),(3,-1) write and equation of the line that passes through the pair of points      Log On


   

Question 750229: (-5,-2),(3,-1) write and equation of the line that passes through the pair of points
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( -5, -2 ) and ( 3, -1 )
The slope is ( change in y ) / ( change in x )
+m+=+%28+-1+-%28-2%29+%29+%2F+%28+3+-%28-5%29+%29+
+m+=+%28+-1+%2B+2+%29+%2F+%28+3+%2B+5+%29+
+m+=+1%2F8+
------------
Use the general point-slope formula
+%28+y+-+%28-2%29+%29+%2F+%28+x+-+%28-5%29+%29+=+1%2F8+
+%28+y+%2B+2+%29+%2F+%28+x+%2B+5+%29+=+1%2F8+
+y+%2B+2+=+%281%2F8%29%2A%28+x+%2B+5+%29+
+8y+%2B+16+=+x+%2B+5+
+8y+=+x+-+11+
+y+=+%281%2F8%29%2Ax+-+11%2F8+
---------------------
check:
Does it go through (-5, -2) ?
+y+=+%281%2F8%29%2Ax+-+11%2F8+
+-2+=+%281%2F8%29%2A%28-5%29+-+11%2F8+
+-16+=+-5+-+11+
+-16+=+-16+
OK
and
Does it go through ( 3,-1 )?
+-1+=+%281%2F8%29%2A3+-+11%2F8+
+-8+=+3+-+11+
+-8+=+-8+
OK