SOLUTION: A line passes through the points (3, 16), (-2, -14), and (h, 28). Find the value of h.

Algebra ->  Linear-equations -> SOLUTION: A line passes through the points (3, 16), (-2, -14), and (h, 28). Find the value of h.      Log On


   

Question 692758: A line passes through the points (3, 16), (-2, -14), and (h, 28). Find the value of h.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the points are all on the same straight line,
the slope between any pair of the points
is the same
(3,16) and (-2,-14)
slope = +%28+16+-%28-14%29+%29+%2F+%28+3+-%28-2%29+%29+
slope = +30+%2F+5+
slope = +6+
-------------
(3,16) and (h,28)
slope = +6+
+6+=+%28+28+-+16+%29+%2F+%28+h+-+3+%29+
+6+=+12+%2F+%28+h+-+3+%29+
+6%2A%28+h+-+3+%29+=+12+
+6h+-+18+=+12+
+6h+=+30+
+h+=+5+
-----------
check:
(-2,-14) and (h,28)
+6+=+%28+28+-%28-14%29+%29+%2F+%28+h+-%28-2%29+%29+
+6+=+42+%2F+%28+h+%2B+2+%29+
+6%2A%28+h+%2B+2+%29+=+42+
+6h+%2B+12+=+42+
+6h+=+30+
+h+=+5+
OK