Can someone help me solve this?

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

Which of the following equations is of the parabola whose vertex is at (4, 3), axis of symmetry parallel to the y-axis and focus at (4, -3)? a.) y+3=1/24 (x+4)^2 b.)y-3=-1/24 (x-4)^2 c.)x-4=-1/24 (y-3)^2

Find the slope and the y-intercept if there's one and the equation of the line given these two points( 3, 2) and( 3, -4)