Name:_ I worked with:__ Comparing Two Lines Activity A.Identifying Slope and Y-Intercepts Identify the slope and y-intercept for each linear equation: i.Y=2x+3 a.Slope: b.Y-intercept: ii.Y=2x+6 a.Slope: b.Y-intercept: iii.Y=(-1/2)x+5 a.Slope: b.Y-intercept: B.Parallel Lines Example 1: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet. i.Y=4x+6 ii.Y=4x+3 Questions: What is similar about these two lines? What is different? Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)? Example 2: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet. i.Y=-3x+3 ii.Y=-3x+4 Questions: What is similar about these two lines? What is different? Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)? C.Perpendicular Lines Example 1: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet. i.Y=2x+4 ii.Y=(-1/2)x+4 Questions: What is similar about these two lines? What is different? Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)? Example 2: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet. i.Y=6x+7 ii.Y=(-1/6)x+7 Questions: What is similar about these two lines? What is different? Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)? Example 3: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet. i.Y=6x+9 ii.Y=(-1/6)x+7 Questions: What is similar about these two lines? What is different? Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)? For each example, compare the slopes of the two lines. How are 2 and (-1/2) related? What about 6 and (-1/6)? What does this tell you about the slopes of perpendicular lines? Think of two linear equations with the same slope and the same y-intercept: i.Y= ii.Y= Graph them on the same plane (on paper, then on the simulation). What do you notice about this graph?
I worked with:__
Comparing Two Lines Activity
A. Identifying Slope and Y-Intercepts
Identify the slope and y-intercept for each linear equation:
i. Y=2x+3
a. Slope:
b. Y-intercept:
ii. Y=2x+6
a. Slope:
b. Y-intercept:
iii. Y=(-1/2)x+5
a. Slope:
b. Y-intercept:
B. Parallel Lines
Example 1: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet.
i. Y=4x+6
ii. Y=4x+3
Questions:
What is similar about these two lines? What is different?
Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)?
Example 2: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet.
i. Y=-3x+3
ii. Y=-3x+4
Questions:
What is similar about these two lines? What is different?
Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)?
C. Perpendicular Lines
Example 1: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet.
i. Y=2x+4
ii. Y=(-1/2)x+4
Questions:
What is similar about these two lines? What is different?
Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)?
Example 2: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet.
i. Y=6x+7
ii. Y=(-1/6)x+7
Questions:
What is similar about these two lines? What is different?
Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)?
Example 3: Graph each linear equation on paper first, then use the simulation. For each, write down the slope and y-intercept of the line. After you have used the simulation, answer the questions on the worksheet.
i. Y=6x+9
ii. Y=(-1/6)x+7
Questions:
What is similar about these two lines? What is different?
Plot both lines on the same plane (first on paper, then with the simulation). What do you notice about the two lines (do they intersect, are they parallel)?
For each example, compare the slopes of the two lines. How are 2 and (-1/2) related? What about 6 and (-1/6)? What does this tell you about the slopes of perpendicular lines?
Think of two linear equations with the same slope and the same y-intercept:
i. Y=
ii. Y=
Graph them on the same plane (on paper, then on the simulation). What do you notice about this graph?