SOLUTION: can you help me with this problem, "which value of r gives the line passing through (3,2) and (r,-4) a slope a 3/2."

Algebra ->  Linear-equations -> SOLUTION: can you help me with this problem, "which value of r gives the line passing through (3,2) and (r,-4) a slope a 3/2."      Log On


   

Question 514774: can you help me with this problem, "which value of r gives the line passing through (3,2) and (r,-4) a slope a 3/2."
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope formula
+%28+2+-%28-4%29+%29+%2F+%28+3+-+r+%29+=+3%2F2+
+6+%2F+%28+3+-+r+%29+=+3%2F2+
Multiply both sides by +2%2A%28+3+-+r%29+
+12+=+3%2A%28+3+-+r+%29+
+12+=+9+-+3r+
+3+=+-3r+
+r+=+-1+
check answer:
+%28+2+-%28-4%29%29+%2F+%28+3+-+r+%29+=+3%2F2+
+6+%2F+%28+3+-%28-1%29+%29+=+3%2F2+
+6%2F4+=+3%2F2+
+3%2F2+=+3%2F2+
OK