Assignment
1) Graph the linear equation by finding and plotting the intercepts. Show all work and write each intercept as an ordered pair. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
2x - 4y = 12
x-intercept =
y-intercept =
2) Given the line with equation: 3x + 4y = 24
a) Convert the equation to slope-intercept form.
b) State the slope of the line.
c) State the y-intercept of the line as an ordered pair.
d) Use slope-intercept form to graph the line. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes.
3) Given the points (4, 6) and (8, 9).
a) Find the slope of the line through the points (4, 6) and (8, 9).
b) Write the equation of the line through the points in point-slope form, y - y1 = m(x - x1).
c) Convert the equation that you wrote in part (b) to slope-intercept form, y = mx + b.
d) Convert the equation that you wrote in part (b) to standard form, Ax + By = C, where A, B, and C are integers and A > 0.
e) Graph the line through the two given points. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes.
4) Given a line with equation 6x + 5y = 20. Write an equation in point-slope form of the line parallel to the given line through the point (2, -3).
5) Graph both lines from Question #4 on one coordinate system. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes.
6 - 9) In 1964, the United States Surgeon General released a first report warning of the harms caused by smoking. As a health care professional, you are working on a smoking-cessation program, and you are studying the table in the table below:
|
Year
|
x Years since 1965
|
y Percentage of American adults who smoke
|
|
1965
|
0
|
42.4
|
|
1970
|
5
|
37.4
|
|
1980
|
15
|
33.2
|
|
1985
|
20
|
30.1
|
|
1990
|
25
|
25.5
|
|
1995
|
30
|
24.7
|
|
1999
|
34
|
23.5
|
|
2001
|
36
|
22.8
|
|
2005
|
40
|
20.9
|
|
2007
|
42
|
19.8
|
|
2011
|
44
|
19
|
|
2014
|
49
|
16.8
|
6) Using the data for 1980 and 2001, write the two data points as ordered pairs, plot them on a clearly labeled and scaled coordinate grid, and draw the line through them. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. NOTE: You can use desmos.com to graph your response digitally. This is the only ONLINE calculator that will be allowed.
7) Determine the slope of the line through the two points you graphed in #6. Write your answer in decimal form, rounded to the nearest hundredth of a percent (if necessary)
8) Explain in a sentence or two the meaning of the slope in the context of the problem.
9A) Write an equation in point-slope form of the line through the two points.
9B) Convert the equation to slope-intercept form.