SOLUTION: Write an equation in standard form of the line satisfying the given conditions for {{{m=-3/5, passes through (10,1)}}}

Algebra ->  Linear-equations -> SOLUTION: Write an equation in standard form of the line satisfying the given conditions for {{{m=-3/5, passes through (10,1)}}}      Log On


   

Question 173933: Write an equation in standard form of the line satisfying the given conditions for m=-3%2F5%2C+passes+through+%2810%2C1%29
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The point-slope equation is
m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29
-%283%2F5%29+=+%28y+-+1%29+%2F+%28x+-+10%29
multiply both sides by x+-+10
-%283%2F5%29%2A%28x+-+10%29+=+y+-+1
y+=+-%283%2F5%29%2Ax+%2B+6+%2B+1
5y+=+-3x+%2B+35
-3x+-+5y+%2B+35+=+0
Multiply both sides by -1
3x+%2B+5y+-+35+=+0 answer
check:
does it go through (10,1)?
3%2A10+%2B+5%2A1+-+35+=+0
30+%2B+5+-+35+=+0
+0+=+0
OK