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y + 3 = -½(x - 1)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a), where,

m = slope, and (a, b) is a point the line passes through.

Given that the line is perpendicular to the y = 2x - 1, the slope (m) will be the negative reciprocal of 2, which is -½.

Thus, substitute m = -½, a = 1, and b = -3 into y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 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.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph