Question

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1

Answer 1

if two lines are parallel, then both lines yield the same slope.

Answer 2

so our new line would be in the form

y=2x+c

simply input the point given (2,-1) into that new equation to find c

Answer 3

i think D

Answer 4

-1=2(2)+c

c=-1-4

y=2x-5

Answer 5

thank you for helping :)

Answer 6

You know how the equation has x and y in it. and you know how (in this case) x = 2 and y = -1, well. you want to plug those numbers in the x and y slots. You can do that for each, or as chris00 said, you can plug it in that equation to find c.

Answer 7

thank you makes sense now

Answer 8

No problem. :)