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Mccoy
Mathematics
12 September, 07:30
Are the lines 2y-10x=4 and y-2=5x parallel?
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Rayna Swanson
12 September, 07:34
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First line y = (4+10x) / 2=5x+2
Second line : y=5x+2
We see that the two have the same leading coefficient (5) hence they are parallel.
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Rachel Kent
12 September, 07:35
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Well,
If the slope of the lines are the same, then the lines are parralel.
We need to manipulate 2y - 10x = 4 into y = mx + b form.
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
Do the same thing with the other equation.
Add 2 to both sides
y = 5x + 2
y = 5x + 2
It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!
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