Find the value of k if it is known that the line y=kx+2 goes through point:

p (−7, 12)

c(3, −7)

k = -10/7 and k = -3

Step-by-step explanation:

Given: y = kx + 2

where k is the slope of line and 2 is y-intercept.

∵ line y = kx + 2 is passing through point P (-7, 12), ∴ x = -7 and y = 12

Now substituting the value of x and y in above equation,

y = kx + 2

12 = k(-7) + 2

-7k = 12 - 2

- 7k = 10

In the same way, ∵ line y = kx + 2 is passing through point P (3, -7), ∴ x = 3 and y = -7

y = kx + 2

Now substituting the value of x and y in above equation,

-7 = k(3) + 2

3k = -7 - 2

3k = - 9

k = -3

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.