What is the image of line y=3x-1 transformed by a dilation with a scale factor of 2 and centered at (3,8)?

Can somebody 1. what is the formula for finding the vertical distance between two points on a coordinate plane?

Do,h = (7, 9) (14, 18) the scale factor is

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?