Aline in the cartesian plane passes through the points (–2, 4) and (2, –1). what are the rise and the run of the line?
a. the rise is –5, the run is 4.
b. the rise is –4, the run is –5.
c. the run is –5, the rise is 4.
d. the run is 4, the rise is 5.

a. The rise is –5, the run is 4.

Step-by-step explanation:

Given :- A line in the Cartesian plane passes through the points (–2, 4) and (2, –1)

Let and

We know that rise of a line = vertical change of points=change in the coordinates of y

=

Run of line=horizontal change of points=change in the coordinates of x

=

Therefore, The rise is –5, the run is 4.

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.

step-by-step explanation:

cats