Need help with a problem solving question

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SUMMARY

The discussion focuses on solving for the value of k in two equations representing parallel lines: Y - kx = -5x + 9 and Y + 2x = 4(kx - 2). To determine if the lines are parallel, the slopes must be equal. The suggested method is to rearrange both equations into the slope-intercept form (y = mx + b) to facilitate comparison of the slopes. This approach will yield the necessary value of k for the lines to be parallel.

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  • Understanding of linear equations and slope-intercept form
  • Knowledge of parallel lines and their properties
  • Ability to manipulate algebraic equations
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  • Practice converting equations to slope-intercept form
  • Study the properties of parallel lines in geometry
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Students in algebra courses, educators teaching problem-solving strategies, and anyone needing to understand the relationship between slopes of linear equations.

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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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