Question 57797
Please help me solve the equation below.  Thank you.

A line parallel to the graph of 4x-y=0
:
If a line is parallel to this line it will have the same slope. 
In order to find the slope of a linear equation we put the equation in slope intercept form:{{{highlight(y=mx+b)}}}, where the slope=m, and the y-intercept is (0,b).  
:
4x-y=0
-4x+4x-y=0-4x
0-y=-4x
-y=-4x
-(-y)=-(-4x)
{{{y=highlight(4)x}}}  the slope of this line is m=4 and the y-intercept is (0,0).
There are an infinite number of lines parallel to 4x-y=0, their slope has to be 4, and their y=intercept has to be anything but (0,0).  (If it's (0,0) it's the same line.)
:
Here's some example of parallel lines:
y=4x+1
y=4x-5
y=4x+1000000000000000000000000000
The only thing that matters is that if the line is in slope intercept form, the coefficient of x, m=4 and b is not 0.
Happy Calculating!!!