Question

Are the lines 2y-10x=4 and y-2=5x parallel ??

Answer 1

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.<span />

Answer 2

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!<span />