# Find the value of K so that the lines Kx - 2y = 4 and x + 3y = 7 will be parallel.

2
by kristine3390

2014-05-15T12:15:44+08:00

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Transform the equations into slope-intercep form:
Kx - 2y = 4      ––>      y =
x -2
x + 3y = 7       ––>       y = x +

For two equations to be parallel, their slope should be equal.

k =  -2/3
2014-05-15T12:28:16+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Kx-2y=4   --equation 1
x+3y=7    --equation 2

Transform each equation to y=mx+b; where m=slope
y=(kx)/2 -2   equation 3
y=-x/3 +7     equation 4

Since parallel lines have the same slope, we equate:
(kx)/2 =-x/3    multiplying both sides by 1/x
k/2 =-1/3
k=-2/3

Substitute k=-2/3 in equation 3
y=-x/3 -2