WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,−2), D(−4,a); m=0 b) C(a,–1), D(–3,2); m=undefined c) C(–3,–2), D(1,a); m=2

The value of a for the equation of line CD are;

Given the following data:

a) C(5, -2), D(-4, a); m = 0

To find the value of a;

Mathematically, the slope (m) of an equation of line is given by the formula;

Substituting the values into the formula, we have;

Cross-multiplying, we have;

× =

a = -2

b) C(a, -1), D(-3, 2); m = undefined

To find the value of a;

Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).

Substituting the given values into the slope formula, we have;

Undefined

Undefined

Next, we would equate the denominator to zero (0);

a = -3

c) C(-3, -2), D(1, a); m = 2

Substituting the values into the formula, we have;

Cross-multiplying, we have;

× =

a = 6

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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.