write an equation of a line that has the same slope as 2x-5y=12 and the same y-intercept as 4y+24=5x.

Answer 1

The slope of the first line, which can be most easily seen when rewritten as
y = (2/5) x -12/5, is m = 2/5

The y-intercept of the second equation is what you get when x = 0. That number is y = -6

Therefore the equation of the line you want is
y = (2/5)x -6