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Part 1: Calculator Investigation of changing the yintercept of an equation
In your calculators y= screen enter the equation y = 2x + 5 into y1
Question: What is the yintercept of this equation? _________________
Question: If the yintercept were decreased by 7, what would be the new yintercept? ______________
Write a new equation using the new yintercept and the same slope as the equation above.
Enter this equation into y2 on your calculator. Compare the graphs.
Question: If the original yintercept were increased by 3, what would be the new yintercept? ______________
Write a new equation using the new yintercept and same slope as the original equation.
Enter this equation into y2 on your calculator. Compare the graphs.
Analysis: What effect does changing the yintercept of an equation have on the graph?
Part 2: Calculator investigation of changing the slope of an equation
In your calculators y= screen enter the equation y = 2x + 5 into y1
Question: What is the slope of this equation? ______________
Question: If the original slope were doubled, what would be the new slope?
Write an equation using the new slope and same yintercept as the original equation.
Enter the new equation into y2. Compare the graphs.
Question: If the original slope were tripled, what would be the new slope?
Write an equation using the new slope and same yintercept as the original equation.
Enter the new equation into y2. Compare the graphs.
Question: If the original slope were halved, what would be the new slope?
Write an equation using the new slope and same yintercept as the original equation.
Enter the new equation into y2. Compare the graphs.
Analysis: What effect does changing the slope have on the graph?
Part 3: Assessment Section
Get into the Navigator application on your calculator. We will answer a few quick poll questions based on the knowledge you just discovered from the previous parts.
Question 1: Which line would you get if you increased the yintercept of the green line by 4?
Blue line
Red line
Orange line
White line
Question 2: Which line would you get if you decreased the yintercept of the white line by 3?
Blue line
Red line
Orange line
Green line
Question 3: Which line has a yintercept that has been decreased from the blue line?
Red line
Orange line
Green line
White line
Question 4: Which line would you get if you doubled the slope of the red line?
Orange line
Blue line
Green line
White line
Purple line
Question 5: Which line would you get if you halved the slope of the blue line?
Orange line
Red line
Green line
White line
Purple line
Question 6: Which line would you get if you multiplied the slope of the white line by 4?
Orange line
Red line
Green line
Blue line
Purple line
Question 7: What would be the equation you increased the yintercept by 2 and multiplied the slope by 2?
y = 4x 3
y = 1 4x
y = 2 + 4x
y = 4x 2
Question 8: What would be the equation you decreased the yintercept by 6 and multiplied the slope by .5?
y = .5x + 5
y = 6 x
y = 7 + x
y = x + 6
Question 9: What effect does increasing the yintercept by 2 and keeping the same xintercept have on the slope of the line?
The slope is doubled
The slope is halved
There is no change in the slope
The slope changes from positive to negative
Name: ____________________________ Date: __________
Student Worksheet Page PAGE 4 of NUMPAGES 4
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