Question 450142
I would like to know how to determine if the 2 lines are parallel, perpendicular or neither, how do I apply the formula, I always forget;

4x+8y=16
3x+6y=7
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Solve for y
4x+8y=16
y = (-1/2)x + something
Slope = -1/2
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3x+6y=7
y = (-1/2)x + something
Slope = -1/2
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The slopes are equal, -1/2, so they're parallel.
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PS  The "somethings" are the y-intercepts.  They're not relevant in finding the slopes, but if they're equal, then it's the same line.
That's called the slope-intercept form, y = mx + b