Question

Find the line that passes through the point (-2,3) and is parallel to the line y=2x-3.
What information are you given?
What equation can you see?

Answer 1

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).

Answer 2

Secondly you are given a point (-2,3) which the line you are to find passes through. What else could you want?

Answer 3

You can now use the equation: m=(y-3)/(x-(-2)) and obtain the equation of the desired line you are to find.

Answer 4

Plug in 2 for m and solve.

Answer 5

I get y=2x+7
What did you get?

Answer 6

y=2x-5 i guess thats wrong

Answer 7

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

Answer 8

How did you come up with the -5

Answer 9

*I think I see what you did, you didn't treat the double negative correctly.

Answer 10

x - (-2) becomes x + 2

Answer 11

y-1=m(x-x1)
y- -1=2(x-2)
y+1=2(x-2)
y+1=2x-4
-1 -1
y=2x-5

Answer 12

it is x - (-2)
That becomes x+2

Answer 13

Do you see that? The P is (-2,3) x=-2, y=3

Answer 14

All other operations were correct, you're almost there.

Answer 15

i see, thanks i got it now

Answer 16

Great, good luck with your studies.

Answer 17

thank you