If you're given an existing point and the slope of the line, then yes - the y-intercept depends on the slope.
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Not necessary because the line can have no slope at all and be as long as you want it to be.
When the slope of a line reaches zero it then will be parallel to the x or y axes depending if its a positive or a negative slope.
The line gets less steep.
Slope of a line = m slope of perpendicular line = -1/m