SOLUTION: Can someone please help with this problem? What is the equation of a line parallel to y=-X+3 through the point (2,4)? Thanks so much

Question 124052: Can someone please help with this problem?
What is the equation of a line parallel to y=-X+3 through the point (2,4)?
Thanks so much
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is the equation of a line parallel to y=-X+3 through the point (2,4)?
:
Parallel lines have the same slope
The given equation has a slope (m) of -1
:
Use the point/slope formula which is y - y1 = m(x -x1)
:
In your problem m =-1; x1 = 2, y1 = 4, so we have:
:
y - 4 = -1(x - 2)
:
y - 4 = -x + 2; multiplied what's inside the brackets by-1
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y = -x + 2 + 4; added 4 to both sides
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y = -x + 6; (green line, it intercepts the y axis at +6)
:
If you graph these you can see they are in fact parallel

:
Did this make sense? Any question about this?

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