Question 509775
are the lines parallel?explain. 2x+5y= -1 and 10y= -4x-20
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Write equations in standard form for straight lines: y=mx+b, m=slope, b=y-intercept
2x+5y= -1
5y=-2x-1
divide by 5
y=-2x/5-1/5
..
10y= -4x-20
divide by 10
y=-4x/10-2=-2x/5-2
..
As you can see, both equations have the same slope, -2/5, but different y-intercepts, so lines are parallel to each other.