SOLUTION: Line m passes through (2,5) and (5,2) and line n passes through (5,-8) and (11,z). if lines m and n are parallel, what is the value of z? a. -22 b. -15 c. 6 d. 14 e. 22

Algebra ->  Test  -> Lessons -> SOLUTION: Line m passes through (2,5) and (5,2) and line n passes through (5,-8) and (11,z). if lines m and n are parallel, what is the value of z? a. -22 b. -15 c. 6 d. 14 e. 22      Log On


   



Question 892341: Line m passes through (2,5) and (5,2) and line n passes through (5,-8) and (11,z). if lines m and n are parallel, what is the value of z?
a. -22
b. -15
c. 6
d. 14
e. 22

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Slope is ( change in y ) / ( change in x )
m: ( 2,5 ) , ( 5,2 )
Slope of line m:
+%28+2+-+5+%29+%2F+%28+5+-+2+%29+=+-3%2F3+
+-3%2F3+=+-1+
----------------
n: ( 5, -8 ) , ( 11, z )
Line n is a parallel line so,
+%28+z+-%28-8%29+%29++%2F+%28+11+-+5+%29+=+-1+
+%28+z+%2B+8+%29+%2F+6+=+-1+
+z+%2B+8+=+-6+
+z+=+-14+
---------------
check:
+%28+z+-%28-8%29+%29++%2F+%28+11+-+5+%29+=+-1+
+%28+-14+-%28-8%29+%29++%2F+%28+11+-+5+%29+=+-1+
+%28+-14+%2B+8+%29+%2F+6+=+-1+
+-6%2F6+=+-1+
+-1+=+-1+
OK