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Algebra: please answer #3 and show work

Algebra: please answer #3 and show work-example-1

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y=mx+b
slope=8/9=m
one point or solution is (5,2)
so subsitute
y=8/9x+b
subsitute 5 for x and 2 for y
2=8/9(5)+b
2=40/9+b
subtract 40/9 from both sides
2-40/9=b
2=18/9
18/9-40/9=-22/9=b
subsitute
y=8/9x-22/9 is the answer
the first one is the answer
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