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These need to be ordered pairs btw.

4x + 6y = 96 =>4x + 6y -96= 0
x-int = -c/a = -(-96/4) = 24
y-int =-c/b = -(-96/6) = 16

I would start with setting y to 0 to get x 4x+0=96
divide both sides by 96 x=24
Do the same for y

general form : ax+by+c=0
Slope = -a/b
x-int = -c/a
y-int =-c/b

wow amazing !!!

I like to cut to the chase :^)