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MAVERICK [17]
4 years ago
7

Write an equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5, −3).

Mathematics
1 answer:
ankoles [38]4 years ago
5 0

y = mx + b, where m = slope, and b = y-intercept.

Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)

y = (4/5)x + b

-3 = (4/5)(-5) + b

-3 = -4 + b

1 = b


Then replace b in the first equation to get the answer

y = (4/5)x + 1

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1.) M<span>easuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school.

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2.) C</span><span>alling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment.

Here, the population of interest is the team members, so drawing a sample of every third person on the soccer team's roster represents fairly the population of interest.

3.) </span>O<span>bserving every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.

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So this sample does not fairly represent the population of interest.

4.) </span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town.

Here, the population of interest is the residents of the town and not all residents of the town might be a parent.

So, the sample of one-hundredth parent in the school district does not fairly represent the population of interest.

5.) T<span>aking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Here, the population of interest is the students and taking a poll in the lunch room (where all students currently have to eat lunch) fairly represent the population of interest.


Therefore, the samples that fairly represent the population are:
</span>
<span>C<span>alling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment.
and
</span></span>T<span>aking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.</span>
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