Write the equation of the line that parallel to y=1/2-4 and passes through point (9,-6)

Hello!

To find the equation of a line parallel to y = 1/2x - 4, first, we need to know that if two line are parallel, then their slopes are equivalent.

Thus, we create a new equation in slope-intercept form, which includes the original slope, which is currently 1/2.

Since the equation needs a y-intercept, we would substitute the given point into the equation and solve.

y = 1/2x + b (substitute the given ordered pair)

-6 = 1/2(9) + b

-6 = 4.5 + b (subtract 4.5 to both sides)

b = -10.5

Therefore, the equation of the line parallel to y = 1/2x - 4 is y = 1/2x - 10.5. This is also written as y = 1/2x - 21/2.  

after simplifying it i got: -36.25 as my answer. hope that !

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