SOLUTION: Find the equation of the line that passes through the points (-2, 1) and (3, 3). Write your answer in the form y = mx + b.

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that passes through the points (-2, 1) and (3, 3). Write your answer in the form y = mx + b.      Log On


   

Question 1056411: Find the equation of the line that passes through the points (-2, 1) and (3, 3). Write your answer in the form y = mx + b.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( -2, 1 )
( 3, 3 )
Use the general point-slope formula
+%28+y+-+1+%29+%2F+%28+x+-%28-2%29+%29+=+%28+3+-+1+%29+%2F+%28+3+-%28-2%29+%29+
+%28+y+-+1+%29+%2F+%28+x+-%28-2%29+%29+=+2+%2F+5+
+%28+y+-+1+%29+%2F+%28+x+%2B+2+%29+=+2%2F5+
Multiply both sides by +5%2A%28+x+%2B+2+%29+
+5%2A%28+y+-+1+%29+=+2%2A%28+x+%2B+2+%29+
+5y+-+5+=+2x+%2B+4+
+5y+=+2x+%2B+9+
+y+=+%282%2F5%29%2Ax+%2B+9%2F5+
---------------------------
check answer:
( -2, 1 )
+1+=+%282%2F5%29%2A%28-2%29+%2B+9%2F5+
+1+=+-4%2F5+%2B+9%2F5+
+1+=+5%2F5+
+1+=+1+
OK
-------------------
( 3, 3 )
+3+=+%282%2F5%29%2A3+%2B+9%2F5+
+3+=+6%2F5+%2B+9%2F5+
+3+=+15%2F5+
+3+=+3+
OK