PLEASE HELP 15 points

Question 101 points)which equation in slope-intercept form represents the line that passes through (5, 1) and(-4,7)

Find the vertex of the function given below y=x^2-6x+1

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?