Write an equation of a line that has the same slope as 2x - 5y equals 12 and the same y-intercept as 4y plus 24 equals 5x?

Answer 1

You need to put these equations into the slope-intercept form (y = mx + b) so you can read the slope and y-intercept.

2x - 5y = 12 4y + 24 = 5x
-5y = -2x + 12 4y = 5x - 24
y = 2/5x - 12/5 y = 5/4x - 6


slope m = 2/5 y-intercept = -6


New equation with the same slope as the first equation and the same y-intercept as the second equation:


y = 2/5x - 6


Or you could also write it as:


5y = 2x - 30 if you multiplied each term by 5, or 2x - 5y = 30 if you rearranged the terms to be in the same order as the first equation was.