SOLUTION: How do I find an equation of the line containging the given pair of points. (-2,-3) and (-7,-9)

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Question 570920: How do I find an equation of the line containging the given pair of points. (-2,-3) and (-7,-9)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope formula

+%28+y+%2B+3+%29+%2F+%28+x+%2B+2+%29+=+%28+-9+%2B+3+%29+%2F+%28+-7+%2B+2+%29+
+%28+y+%2B+3+%29+%2F+%28+x+%2B+2+%29+=+%28-6%29+%2F+%28-5%29+
+%28+y+%2B+3+%29+%2F+%28+x+%2B+2+%29+=+6%2F5+
Multiply both sides by +5%2A%28+x+%2B+2+%29+
+5%2A%28+y+%2B+3+%29+=+6%2A%28+x+%2B+2+%29+
+5y+%2B+15+=+6x+%2B+12+
+5y+=+6x+-+3+
+y+=+%286%2F5%29%2Ax+-+3%2F5+
------------------
Does the line go through (-2,-3) and (-7,-9) ?
+y+=+%286%2F5%29%2Ax+-+3%2F5+
+-3+=+%286%2F5%29%2A%28-2%29+-+3%2F5+
+-3+=+-%2812%2F5%29+-+3%2F5+
+-3+=+-%2815%2F5%29+
+-3+=+-3+
and
+-9+=+%286%2F5%29%2A%28-7%29+-+3%2F5+
+-9+=+-%2842%2F5%29+-+3%2F5+
+-9+=+-%2845%2F5%29+
+-9+=+-9+
OK