SOLUTION: how do i solve a point slope eqaution

Algebra ->  Graphs -> SOLUTION: how do i solve a point slope eqaution      Log On


   

Question 577246: how do i solve a point slope eqaution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The point-slope formula is used when you are
given ether:
(1) a point and a slope
(2) 2 points
------------
Suppose you are given 2 points such as
( 3,5 ) and ( 1,9 )
You can plug these into the point-slope formula
to find the equation of the line passing through these points
+%28+y+-+5+%29+%2F+%28+x+-+3+%29+=+%28+9+-+5+%29+%2F+%28+1+-+3+%29+
( note that both sides are ( change in y ) / ( change in x )
+%28+y+-+5+%29+%2F+%28+x+-+3+%29+=+4%2F%28-2%29+
+%28+y+-+5+%29+%2F+%28+x+-+3+%29+=+-2+
Multiply both sides by +x+-+3+
+y+-+5+=+-2%2A%28+x+-+3+%29+
+y+-+5+=+-2x+%2B+6+
+y+=+-2x+%2B+11+
check answer:
Does it pass through ( 3,5 )?
+5+=+-2%2A3+%2B+11+
+5+=+-6+%2B+11+
+5+=+5+
OK You can check other point