Question

What would a line parallel to 4x - 3y = 6 have a slope of

Answer 1

Hi there!

All sets of parallel lines must have the same slope, as this allows the line to go to infinity without intersecting. 
In order to find the slope of 4x-3y=6, we need to put the equation in y=mx+b form. The m value will represent the slope.
4x-3y=6
-3y=-4x+6
y=4/3x-2

Therefore the slope would be 4/3. 

Hope this helps!