SOLUTION: Given that (-3,-5) and (-1,-4)are points on the same line find a point-slope form of the equation for this line

Algebra ->  Linear-equations -> SOLUTION: Given that (-3,-5) and (-1,-4)are points on the same line find a point-slope form of the equation for this line      Log On


   

Question 1027082: Given that (-3,-5) and (-1,-4)are points on the same line find a point-slope form of the equation for this line
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1, find the slope.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The points are:
( -3, -5 )
( -1, -4 )
---------------
Use the general point-slope formula

+%28+y+-%28-4%29+%29+%2F+%28+x+-%28-1%29+%29+=+%28+-1+%29+%2F+%28+-2+%29+
+%28+y+%2B+4+%29+%2F+%28+x+%2B+1+%29+=+1%2F2+
+y+%2B+4+=+%281%2F2%29%2A%28+x+%2B+1+%29+
+2y+%2B+8+=+x+%2B+1+
+2y+=+x+-+7+
+y+=+%281%2F2%29%2Ax+-+7%2F2+
---------------------
check:
( -3, -5 )
+-5+=+%281%2F2%29%2A%28-3%29+-+7%2F2+
+-5%2A2+=+-3+-+7+
+-10+=+-10+
----------------------
( -1, -4 )
-4+=+%281%2F2%29%2A%28-1%29+-+7%2F2+
+-8+=+-1+-+7+
+-8+=+-8+
OK