Question 349438
(6,-1); 4x-(-5y)=6 

 4x-(-5y)=6 

4x+5y=6
5y=-4x+6
y=-4x/5 +6/5
slope = -4/5
...
slope of line parallel to this line will also be -4/5
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it passes through (6,-1)
plug values of x,y,m to find b in equation y = mx+b
-1=-4/5 * 6 +b
-1=-24/5 +b
-1+24/5=b
(-5+24)/5 =b
b=19/5

The equation is 
y = -4x/5 + 19/5