Lindsay used two points, (x 1, y 1) and (x 2, y 2), to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. Given this information, which expression must represent the value of b? y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1) y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2) y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1) y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.