Tell whether each statement is True or false and then give a counterexample -?

1)A line with a slope 1 always passes through the origin





2)The slope of a line that passes through the Quadrant III must be negative.





3)Two points with the same x-coordinate are always on the same vertical line.Tell whether each statement is True or false and then give a counterexample -?
1) True





2) False: The equation y=x goes through the third Quadrant





3) TrueTell whether each statement is True or false and then give a counterexample -?
websurfer is wrong about the first one. y = x + 1 is a line with slope 1 and y intercept 1, which means it doesn't pass through the origin.