SOLUTION: In the equation dx-2y=-8 for what value of d is the graph of the equation parallel to 2y-5x+1=0? the y axis? the x axis?

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Question 914268: In the equation dx-2y=-8 for what value of d is the graph of the equation parallel to 2y-5x+1=0? the y axis? the x axis?

Found 2 solutions by mananth, MathLover1:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
dx-2y=-8 for what value of d is the graph of the equation parallel to 2y-5x+1=0? the y axis? the x axis?
slopes are equal since the lines are parallel
dx-2y=-8
2y=dx+8
y=d/2 x +4
2y-5x+1=0?
2y=5x-1
y=5/2x -1/2
d/2 = 5/2
d= 5
If dx-2y=-8 is parallel to X axis
d=0
If dx-2y=-8 is parallel to Y axis
d can take innumerable values

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

parallel lines have ; so, write both equations in slope-intercept form
..........eq.1

=> slope is

........eq.2

=> slope is
so,
=>

than you have or



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