Question 124052
What is the equation of a line parallel to y=-X+3 through the point (2,4)? 
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Parallel lines have the same slope
The given equation has a slope (m) of -1
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Use the point/slope formula which is y -  y1 = m(x -x1)
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In your problem m =-1; x1 = 2, y1 = 4, so we have:
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y - 4 = -1(x - 2)
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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)
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If you graph these you can see they are in fact parallel
{{{ graph( 300, 200, -4, 6, -8, 8, -x+3, -x+6) }}}
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Did this make sense? Any question about this?