Aline passes through the points (–5, 2) and (10, –1). which is the equation of the line? y = -1/5x + 1 y = 1/5x + 3 y = –5x – 23 y = 5x + 27

The answer is A) y = -1/5x + 1

In order to find this you must first find the slope of the line. To do so, use the slope formula below.

m = (y2 - y1)/(x2 - x1)

In which the slope is m, the first point would be (x1, y1) and the second point would be (x2, y2). So we take the known information and we plug it in.

m = (y2 - y1)/(x2 - x1)

m = (-1 - 2)/(10 - -5)

m = -3/15

m = -1/5

Now that we have this, we can use the slope and either point to find the y-intercept (b).

y = mx + b

-1 = -1/5(10) + b

-1 = -2 + b

1 = b

Now that we have the slope and intercept, use both to write the equation.

y = -1/5x + 1

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.