SOLUTION: What is the equation of the line containing (-6, 5) and having a slope of 2/3? I think I have the right answer out of 4 choices (I chose 2x - 3y = -27), but I'm not sure how I wou

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line containing (-6, 5) and having a slope of 2/3? I think I have the right answer out of 4 choices (I chose 2x - 3y = -27), but I'm not sure how I wou      Log On


   

Question 569045: What is the equation of the line containing (-6, 5) and having a slope of 2/3?
I think I have the right answer out of 4 choices (I chose 2x - 3y = -27), but I'm not sure how I would have found that without trying the numbers -6 and 5 in the x and y spots of the equation.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope formula
+%28+y+-+5+%29+%2F+%28+x+-%28-6%29+%29+=+2%2F3+
+%28+y+-+5+%29+%2F+%28+x+%2B+6+%29+=+2%2F3+
Multiply both sides by +3%2A%28+x+%2B+6+%29+
+3%2A%28+y+-+5+%29+=+2%2A%28+x+%2B+6+%29+
+3y+-+15+=+2x+%2B+12+
+3y+=+2x+%2B+27+
+y+=+%282%2F3%29%2Ax+%2B+9+
or, in standard form:
+2x+-+3y+=+-27+