A line that is parallel to another line will have the same slope as the original.
Let's start by putting the given line into slope-intercept form (y = mx + b, where m = slope and b = y-intercept).
4y = 3x + 5
y = 3/4x + 5/4
In this case, the slope of the original line is 3/4. Therefore, a parallel line will also have a slope of 3/4.
Hope this helps!
