line parellel 4x=3y-13. got an ans of 13/4 but not sure if it's correct.

Answer 1

You have an existing line of:
4x=3y-13
which when expressed in the usual slope-intercept form is:
y = (4/3)x + 13/3
where (4/3) is the slope, and 13/3 is the intercept.

Any other line parallel to this one would have the same slope (4/3) and an intercept depending on another condition that is not given.

Thus any line with a slope of (4/3) would be parallel to the given line.