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Question 824516: Find an equation of the line and write your answer in slope intercept form.
The percent of children ages 3 and 4 who are enrolled in nursery school has decreased from 54.5% in 2004 to 52.4% in 2009. First find the equation for the line given the data points. Let X represent the number of years after 2000 and Y the percent of children ages 3 and 4 who are enrolled in nursery school.
Second, estimate the percent of children ages 3 and 4 enrolled in nursery school in 2008 and 2012.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
given data point 1:
x = 2004 - 2000 = 4
y = 54.5
(4, 54.5)
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given data point 2:
x = 2009 - 2000 = 9
y = 52.4
(9, 52.4)
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to solve the linear equation, copy and paste this (the two given data points):
4, 54.5, 9, 52.4
into the "Two-Point form: x1 y1 x2 y2" input box here: https://sooeet.com/math/linear-equation-solver.php
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x-intercept = (133.761905, 0)
y-intercept = (0, 56.18)
slope = -0.42
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answer1:
the line in slope-intercept form:
y = (-0.42)x + 56.18
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answer2:
percent of children ages 3 and 4 enrolled in nursery school in 2008:
y(8) = (-0.42)*8 + 56.18
y(8) = 52.82%
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answer3:
percent of children ages 3 and 4 enrolled in nursery school in 2012:
y(12) = (-0.42)*12 + 56.18
y(12) = 51.14%
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