I need help writing the equation of the line in slope intercept form. I attached a the question and the graph

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help writing the equation of the line in slope intercept form. I attached a the question and the graph
Task: Assign each person to one column. Be sure to follow the tasks in order and to show all work. Use additional paper if necessary.
Name: Aubrey Allen
Name:
Name:
Aubrey Allen
Number each axis appropriately.
Aubrey Allen
Draw the coordinate grid.
Title the scatter plot and label each axis.
Check that units are listed for each axis.
Plot the data points from the given table
onto your coordinate grid.
Verify that the points are plotted correctly.
What type of correlation does your data
In sentences, write what the correlation
Draw a line of fit/trend line. Be sure it goes
through at least two of your data points.
have?
means.
The correlation indicates that the number
of miles travelled by a car has a negative
relationship with its value. This is
because the line descends based on the
plotted points. The number of miles
driven increases as the value of a car
Positive Correlation
Negative Correlation
No Correlation
decreases.
List two points that the line of fit passes
through and find the slope of the line.
Verify that the slope is correct.
Check that your slope matches your
correlation. (A graph with a negative
correlation should have a negative slope.)
(10,000, 22,000) and (30,000, 22,000)
slope:
Write the equation of the line in point-slope
form.
Write the equation of the line in slope-
intercept form.
Choose an x-value not given.
3
Write an equation in slope-intercept form of
a line that is parallel to your line of fit.
Plugging in your new x-value, what would
be its corresponding y-value? (Hint: Plug x
into your equation.)
Is this output reasonable? Explain.
Add this new point to your graph.
Describe what this parallel line could
represent.
Write an equation in slope-intercept form of
a line that is perpendicular to your line of fit.
Describe what this perpendicular line
represents.
Transcribed Image Text:Task: Assign each person to one column. Be sure to follow the tasks in order and to show all work. Use additional paper if necessary. Name: Aubrey Allen Name: Name: Aubrey Allen Number each axis appropriately. Aubrey Allen Draw the coordinate grid. Title the scatter plot and label each axis. Check that units are listed for each axis. Plot the data points from the given table onto your coordinate grid. Verify that the points are plotted correctly. What type of correlation does your data In sentences, write what the correlation Draw a line of fit/trend line. Be sure it goes through at least two of your data points. have? means. The correlation indicates that the number of miles travelled by a car has a negative relationship with its value. This is because the line descends based on the plotted points. The number of miles driven increases as the value of a car Positive Correlation Negative Correlation No Correlation decreases. List two points that the line of fit passes through and find the slope of the line. Verify that the slope is correct. Check that your slope matches your correlation. (A graph with a negative correlation should have a negative slope.) (10,000, 22,000) and (30,000, 22,000) slope: Write the equation of the line in point-slope form. Write the equation of the line in slope- intercept form. Choose an x-value not given. 3 Write an equation in slope-intercept form of a line that is parallel to your line of fit. Plugging in your new x-value, what would be its corresponding y-value? (Hint: Plug x into your equation.) Is this output reasonable? Explain. Add this new point to your graph. Describe what this parallel line could represent. Write an equation in slope-intercept form of a line that is perpendicular to your line of fit. Describe what this perpendicular line represents.
150,000
140,000
130,000
120,000
110,000
100,000
number of
90,000
miles driven
80,000
70,000
60,000
50,000
40,000
30,000
20,000
10,000
5,000
10,000 15,000 20,000 25,000 30,000 35,000 40,000 45,000 50,000
Value of a car
Transcribed Image Text:150,000 140,000 130,000 120,000 110,000 100,000 number of 90,000 miles driven 80,000 70,000 60,000 50,000 40,000 30,000 20,000 10,000 5,000 10,000 15,000 20,000 25,000 30,000 35,000 40,000 45,000 50,000 Value of a car
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