SOLUTION: Line A passes through the points (2k+3,4k-6) and (-2,16). Find the value of k, if line A has a slope of 0.

Algebra ->  Linear-equations -> SOLUTION: Line A passes through the points (2k+3,4k-6) and (-2,16). Find the value of k, if line A has a slope of 0.      Log On


   

Question 567748: Line A passes through the points (2k+3,4k-6) and (-2,16). Find the value of k, if line A has a slope of 0.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(2k+3,4k-6) and (-2,16)
slope = ( change in y ) / ( change in x )
given:
slope = +0+
change in y = +0+
change in y = +16+-+%28+4k+-+6+%29+
+16+-+%28+4k+-+6+%29+=+0+
+16+-+4k+%2B+6+=+0+
+4k+=+22+
+k+=+11%2F2+
check answer:
slope = +%28+16+-+%28+4k+-+6+%29+%29+%2F+%28+-2+-+%28+2k+%2B+3+%29+%29+
slope = +%28+22+-+4k+%29+%2F+%28+-5+-+2k+%29+
slope = +%28+22+-+4%2A%2811%2F2%29+%29+%2F+%28-5+-+2%2A%2811%2F2%29+%29+
slope = +0+%2F+%28-16%29+=+0+
OK