Answer as many as you can please (write in slope-intercept form) Passes through (-3, 6)
with a slope of -2.

passes through (-6, 13) and (3, 1)

passes through (-4, -7) with a slope of -1/2

passes through (1, 2) and (3, -8)

See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using .

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

The slope-intercept form is .

For the third one, we are already given the slope, so all we have to do is find b.

The slope-intercept form is .

For the last one, we need to first find the slope using .

Now that we have our slope, we can plug it into our slope-intercept form and find b.

Our slope-intercept form is .

linear pair postulates

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.