Part A:
1. Choose one of the groups of equations from the table below. Indicate which group you choose in your word processing file.
Group 1
y = -2/3x + 4
–3x + 2y = 8
Group 2
y = -2/3x – 2
–2x + 3y = -6
Group 3
y = -1/3x + 3
–x + 3y = 9
Group 4
y = -1/6x + 5
–x + 6y = 30
2. Type the first equation from the group you selected and identify the slope and the y-intercept of the equation.
3. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.
4. Type the second equation from the group you selected and change the equation into slope-intercept form. Be sure to show all of your work. Identify the slope and y-intercept of the equation.
5. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.
6. In a paragraph of at least three sentences, explain how the graphs of the two equations in your group are the same and how they are different. Be sure to use complete sentences.
Part B: Graph the two equations you selected in Part A.
You can choose from the following two options for graphing and submitting your equations
1. You may graph your equations by hand on a piece of graph paper and scan your work.
2. You may graph your equations using graphic or graphing technology that can be found in the Course Information area.
1. Choose one of the groups of equations from the table below. Indicate which group you choose in your word processing file.
Group 1
y = -2/3x + 4
–3x + 2y = 8
Group 2
y = -2/3x – 2
–2x + 3y = -6
Group 3
y = -1/3x + 3
–x + 3y = 9
Group 4
y = -1/6x + 5
–x + 6y = 30
2. Type the first equation from the group you selected and identify the slope and the y-intercept of the equation.
3. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.
4. Type the second equation from the group you selected and change the equation into slope-intercept form. Be sure to show all of your work. Identify the slope and y-intercept of the equation.
5. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.
6. In a paragraph of at least three sentences, explain how the graphs of the two equations in your group are the same and how they are different. Be sure to use complete sentences.
Part B: Graph the two equations you selected in Part A.
You can choose from the following two options for graphing and submitting your equations
1. You may graph your equations by hand on a piece of graph paper and scan your work.
2. You may graph your equations using graphic or graphing technology that can be found in the Course Information area.
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Let's say you pick group 1 The first equation is y = -2/3x - 2 The slope is -2/3 and the y-intercept is -2
So now all you do is draw a graph. Find the point where y - -2. Now from that point go UP 2 squares, then go LEFT 3 squares. Mark that dot. Now take a ruler and carefully draw a straight line between the two dots. Draw the line BEYOND the two dots. (make it a LONG LINE)
Now take the second equation -2x + 3y = -6 bring the -2x across the equal sign by changing it's sign to +
3y = 2x - 6 Now divide everything by 3
y = 2/3x - 2 Once again the y-intercept is -2, but this time the slope is 2/3. Do the same as before. From the dot for y = 2, to UP 2 squares, the go LEFT 3 squares, mark that dot, and draw a line.
You shold see the two lines are identical except for their slopes. One is a negative slope and the other a positive slope both passing through y = -2.
So now all you do is draw a graph. Find the point where y - -2. Now from that point go UP 2 squares, then go LEFT 3 squares. Mark that dot. Now take a ruler and carefully draw a straight line between the two dots. Draw the line BEYOND the two dots. (make it a LONG LINE)
Now take the second equation -2x + 3y = -6 bring the -2x across the equal sign by changing it's sign to +
3y = 2x - 6 Now divide everything by 3
y = 2/3x - 2 Once again the y-intercept is -2, but this time the slope is 2/3. Do the same as before. From the dot for y = 2, to UP 2 squares, the go LEFT 3 squares, mark that dot, and draw a line.
You shold see the two lines are identical except for their slopes. One is a negative slope and the other a positive slope both passing through y = -2.