SOLUTION: I only have two Question. I do not understand how to "write an equation in a standard form for a line containing the point (2,3) and parallel to the following lines:" x+y=1 y

Question 163215: I only have two Question. I do not understand how to "write an equation in a standard form for a line containing the point (2,3) and parallel to the following lines:"
x+y=1
y=2x-3
I have tried but have not prevailed. If I could get help that would be AWESOME...
Textbook: Algebra 1 0-052217-x Chapter 5.6
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Line #1: x+y=1 or y=-x+1 this line has a slope=-1
y=2x-3 this line has a slope=2
No matter what line you have through (2,3) it won't be parallel to both these lines because they are not parallel.
However is you want a line that is parallel to each line then:
y=-x+1 (red line)
3=-(2)+b
3=-2+b
b=3=2
b=5 thus the parallel line is:
y=-x+5 (green line).
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +1 and -x +5).
--------------------------------------------------------------------
y=2x-3 (red line)
3=2*2+b
3=4+b
b=3-4
b=-1
y=2x-1 (green line)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and 2x -1).

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