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You are given the slope of the line which you are to find. Where you say? It is given that it is parallel to the line y=2x-3, parallel lines have equal slope so the slope of the line you are to find is 2. (the coefficient of x).
Secondly you are given a point (-2,3) which the line you are to find passes through. What else could you want?
You can now use the equation: m=(y-3)/(x-(-2)) and obtain the equation of the desired line you are to find.
Plug in 2 for m and solve.
I get y=2x+7 What did you get?
y=2x-5 i guess thats wrong
Let me double check my work. 2 (y -3) -- = ----- cross multiplying 1 (x +2) 2x+4 =y - 3 y=2x + 7 appears to be correct
How did you come up with the -5
*I think I see what you did, you didn't treat the double negative correctly.
x - (-2) becomes x + 2
y-1=m(x-x1) y- -1=2(x-2) y+1=2(x-2) y+1=2x-4 -1 -1 y=2x-5
it is x - (-2) That becomes x+2
Do you see that? The P is (-2,3) x=-2, y=3
All other operations were correct, you're almost there.
i see, thanks i got it now
Great, good luck with your studies.