Question 380493
Through(9,5) , 
Parallel to -7x + 6y = -57
write the equation in slope intercept form
+7x
6y=7x-57
/6
y=(7/6)x-(57/6)
..
slope = 7/6
..
the slope of line parallel to this line will be the same.
so m= 7/6
Point(9,5)
Find b in y = mx+b
5=7/6 *9 +b
5=21/2+b
b=5-21/2
b=-11/2
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the equation will be 
y=(7/6)x-11/2
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Check with graph
{{{graph(300,300,-2,10,-15,2,(7/6)x-(57/6),(7/6)x-11/2)}}}
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m.ananth@hotmail.ca