SOLUTION: give the equation of this line in slope intercept form slope 2/3 passes though (-2,-6) I know the first part of the answer not sure how get the other part i know that y=2/3x but i

Algebra ->  Points-lines-and-rays -> SOLUTION: give the equation of this line in slope intercept form slope 2/3 passes though (-2,-6) I know the first part of the answer not sure how get the other part i know that y=2/3x but i      Log On


   

Question 1053624: give the equation of this line in slope intercept form slope 2/3 passes though (-2,-6) I know the first part of the answer not sure how get the other part i know that y=2/3x but i'm not sure what it is subtracted by for the second part of the answer
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
use the general point-slope formula
( -2, -6 )
+m+=+2%2F3+
---------------
+%28+y+-+%28-6%29+%29+%2F+%28+x+-+%28-2%29+%29+=+2%2F3+
+%28+y+%2B+6+%29+%2F+%28+x+%2B+2+%29+=+2%2F3+
Multiply both sides by +3%2A%28+x+%2B+2+%29+
+3%2A%28+y+%2B+6+%29+=+2%2A%28+x+%2B+2+%29+
+3y+%2B+18+=+2x+%2B+4+
+3y+=+2x+-+14+
+y+=+%282%2F3%29%2Ax+-+14%2F3+
--------------------------
check:
does it go through ( -2, -6 ) ?
+-6+=+%282%2F3%29%2A%28-2%29+-+14%2F3+
+-6+=+-4%2F3+-+14%2F3+
+-6+=+-18%2F3+
+-18+=+-18+
OK