SOLUTION: What positive of k would make the lines below parallel. {{{ kx+2y=8 }}} {{{ 18x+ky=12 }}}

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: What positive of k would make the lines below parallel. {{{ kx+2y=8 }}} {{{ 18x+ky=12 }}}      Log On


   

Question 1046650: What positive of k would make the lines below parallel.
+kx%2B2y=8+
+18x%2Bky=12+
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is y+=+highlight_green%28m%29x+%2B+highlight%28b%29
where m is the slope and b the y-intercept.
+kx%2B2y=8+
y = -(k/2)x + 4
+18x%2Bky=12+
y = -(18/k)x = 12/k
Line parallel ...slopes equal
k%2F2+=+18%2Fk
| Cross Multiplying to solve
k^2 = 36
k = ± 6
k = 6 is positive