SOLUTION: what is the slope of the line that contains the point (-4/5,3/2) and has the same y-intersept as 2x - 5y =6 ?

Algebra ->  Linear-equations -> SOLUTION: what is the slope of the line that contains the point (-4/5,3/2) and has the same y-intersept as 2x - 5y =6 ?      Log On


   

Question 675987: what is the slope of the line that contains the point (-4/5,3/2) and has the same y-intersept as 2x - 5y =6 ?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Putting 2x-5y=6 into y = mx+b, b is the y intercept.
2x - 6 = 5y
y = %282%2F5%29x-6%2F5
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-6%2F5 is the y intercept.
...
using the point(-4%2F5,3%2F2)
plug into y = mx + b format using previously determined y intercpt
3%2F2 = m-4%2F5 - 6%2F5
isloate the m variable
3%2F2+%2B+6%2F5+=+m%28-4%2F5%29
create a common denominator to add
%283%2F2%29%285%2F5%29+%2B+%286%2F5%29%282%2F2%29+=+m%28-4%2F5%29
%2815%2F10%29+%2B+%2812%2F10%29+=+m%28-4%2F5%29
27%2F10+=+m%28-4%2F5%29
multiply both sides by -5%2F4
%2827%2F10%29%28-5%2F4%29+=+m%28-4%2F5%29%28-5%2F4%29
-27%2F8+=+m
...
slope, m, is -27%2F8
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