Question

WILL UPVOTE ALL ANSWERS!!!!!!!

Answer 1

The line that goes through those points would just be a plain vertical line because they have the same x-value! Therefore, the equation would just be x=6. And the slope of a vertical line is always undefined since there is no variation in the x-values. 
If you tried to use the slope formula: m= y2-y1/x2-x1 , you would get 7-(-3)/4-4
since 4-4=0, the denominator will be 0 and any number divided by 0 is undefined! 

Answer 2

Answer:

The points have the same x-coordinates.

The line would be vertical.

The line has no slope.

The run = 0, which would create an undefined fraction.