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AprilKitties
No, not necessarily. They could have different y intercepts.

For example, take one horizontal line, and another horizontal line.

These horizontal lines would both have the same slope, 0. But one could be higher up, or have a higher y intercept, than the other.

They would still have the same slope, but not be the same line.
JabbaTheHut
No, not all lines with the same slope have the same line. 

If they're y and/or x intercepts are different then they could have the same slope, but not have the same line.

Here's an example:
The equation for a linear line is y = mx + b
Where m = the slope and b = the y intercept.

If we have two lines y = 2x + 1 and y = 2x + 10, they both have the same slope, but they are different lines:

If they are the same line: I should be able to plug one x value into both equations and I would get the same value, but if they are different then I won't get the same y value for each x value.

ex: if x = 2
y = 2x + 1  => y = 2(2) + 1 => y = 5
y = 2x + 10 => y = 2(2) + 10 => y = 14

As you can see I plugged in the same x value into both equations (they have same slope) and I got different values.

Hope this answers your question!

-Jabba

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