What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?

y = -3x - 2

Step-by-step explanation:

Slope intercept form: y = mx + b.

Note that: (x , y) = (0 , -2) & m (slope) = -3

Plug in the corresponding numbers to the corresponding variables:

-2 = (-3)(0) + b

Simplify. Solve for b.

-2 = 0 + b

b = -2

Plug in  -3 for m (given) & -2 for b (the answer we got) to the original form:

y = -3x - 2 is your answer

~

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560