SOLUTION: are (2,9) and (-3,-6) both on the line y = 4x+ 6 ? if not find an equation for the line that pass through both points

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: are (2,9) and (-3,-6) both on the line y = 4x+ 6 ? if not find an equation for the line that pass through both points       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 529981: are (2,9) and (-3,-6) both on the line y = 4x+ 6 ?
if not find an equation for the line that pass through both points
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Only (-3,-6) is on the line because
+-6+=+4%2A%28-3%29+%2B+6+
+-6+=+-12+%2B+6+
+-6+=+-6+
(2,9) is not on the line because
+9+=+4%2A2+%2B+6+
+9+=+8+%2B+6+
+9+=+14+ not true
------------------
Use point-slope formula:
+%28y+-+%28-6%29%29+%2F+%28x+-%28-3%29%29+=+%289+-+%28-6%29%29+%2F+%282+-+%28-3%29%29+
+%28y+%2B+6%29+%2F+%28x+%2B+3%29+=+%289+%2B+6%29+%2F+%282+%2B+3%29+
+%28y+%2B+6%29+%2F+%28x+%2B+3%29+=+15+%2F+5+
+%28y+%2B+6%29+%2F+%28x+%2B+3%29+=+3+
+y+%2B+6+=+3%2A%28x+%2B+3%29+
+y+%2B+6+=+3x+%2B+9+
+y+=+3x+%2B+3+ answer
check:
(-3,-6)
+-6+=+3%2A%28-3%29+%2B+3+
+-6+=+-9+%2B+3+
+-6+=+-6+
OK
(2,9)
+9+=+3%2A2+%2B+3+
+9+=+6+%2B+3+
+9+=+9+
OK