Can two lines with the same slope intersect at one point?

No

If lines have the same slope and different y-intercept, it will never intersect and has no solution.

If they have the the same slope and the same y-intercept, it intersects at every point and has infinitely many solutions.

Hope this helps comment below for more questions :)

The second and fourth answer are correct

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.