SOLUTION: find the equation of a line passing through the point of intersection of the lines x+y+5=0 and x-y+3=0 and having x-intercept 3 ?

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Question 851624: find the equation of a line passing through the point of intersection of the lines x+y+5=0 and x-y+3=0 and having x-intercept 3 ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the point of intersection.
Add the two equations together.
x%2By%2B5%2Bx-y%2B3=0
2x%2B8=0
2x=-8
x=-4
Now solve for y
-4%2By%2B5=0
y%2B1=0
y=-1
(-4,-1)
Now find the equation of the line that goes through (3,0) and (-4,-1).
First find the slope.
m=%28-1-0%29%2F%28-4-3%29=-1%2F-7=1%2F7
Now use the point slope form of the line.
y-0=%281%2F7%29%28x-3%29
y=%281%2F7%29x-3%2F7
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