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If you mean: -2x-3y = 24 then-3y = 2x + 24 => y = (2x+24)/(-3) => y = -2/3x-8where -2/3 is the slope and -8 is the y-intercept
y = -2x - 8
If you mean: 12x-2y = -48 then y = 6x+24 whereas 6 is the slope and 24 is the y intercept
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 - 24y = 2/5x - 12/5 y = 5/4x - 6slope m = 2/5 y-intercept = -6New equation with the same slope as the first equation and the same y-intercept as the second equation:y = 2/5x - 6Or 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.
y=mx+b m = slope b = y-intercept slope = (y1-y2)/(x1-x2) slope = (2--6)/(3--2) slope = 8/5 2=(8/5)3+b 2=24/5+b 5/12=b y=8/5x+5/12