SOLUTION: Please graph.............. praph the line that satisfies each set of conditions. Passed through origin, parallel to graph x+y=10

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Question 157214: Please graph..............
praph the line that satisfies each set of conditions.
Passed through origin, parallel to graph x+y=10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=10
y=-x%2B10
The slope of that line is m%5B1%5D=-1.
Parallel lines have identical slopes.
m%5B1%5D=m%5B2%5D=-1
Use the point-slope form of a line.
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
The origin is
x%5Bp%5D=y%5Bp%5D=0
Substituting all the values.
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-0=%28-1%29%28x-0%29
y=-x
Graph them to prove out the solution.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-3%2C+12%2C+-x%2B10%2C+-x%29+