1. What is the equation in point-slope form of the line that has a slope of 1/3 and passes through the point (12, 5)?
1 answer:
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Answer:
D) (3.67, 4.73)
Step-by-step explanation:
Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where
- M is the average number of home owned (4.2)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated as
ME= where
- z is the corresponding statistic in the given confidence level(1.96)
- s is the standard deviation of the sample(2.1)
- N is the sample size (60)
Putting the numbers we get ME=≈0.53
Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)
Step-by-step explanation:
The line
Is in point Slope form. This means the Slope and the y intercept are visible in the equation 9f the form
Where m is the Slope of the line and b is the y coordinate of the y intercept.
To determine the y intercept, assume x = 0, then - 3x = 0, so y = 3 and x = 0 (0,3}
From that point you can find the next point by choosing a value for x in the given equation to find a corresponding y.
Substitute 1 for x and get 0 for y, (1,0)
Substitue 2 for x and get - 3 for y, (2,-3)
To answer the questions use the supplied coordinates in the original equation.
#1. (-1,6)
This is a true statement, so the line does pass through this point.
#2 (12,-33)
Again, the statement is true, so the line passes through the point.
#3 (2,9)
This is a false {untrue} statement, so the point does not sit on the line.