Need help with a problem solving question

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To determine the value of k for which the two given lines are parallel, the equations need to be rearranged into the slope-intercept form (y = mx + b). Since parallel lines have identical slopes, the task involves equating the slopes derived from both equations. The discussion highlights the importance of identifying the slopes to find the correct value of k. Participants suggest using comparison of slopes as a strategy to solve the problem effectively.
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Homework Statement



Two lines given by the following pair of equations. If the lines are parallel, find the value of k.

Y-kx = -5x+9 Y+2x = 4(kx-2)

Homework Equations



Im not exactly sure what i need to do this.

The Attempt at a Solution



Like i said above, I'm not sure what i have to do to figure this out? At first i was thinking comparison but i don't think that's going to work.

This question is for a problem solving assignment our teacher gave us, so she never really taught us a strategy for it.

Any help would be appreciated :)
 
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If two lines are parallel, they have the same slope. Try putting both equations into the form y=mx+b so that you can easily compare the two slopes...what values of k are they equal for?
 
Thanks, ill try that!
 
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