Quiz
Math
Relationship between two linear functions
Start
Review
Compare the slope and y-intercept values of two linear function to determine their relationship.
1. Slopes are the same y-Intercepts are different -> parallel & distinct
3. Slopes are not the same & producte of the slope equals -1 -> perpendicular
4. Slopes are not the same & product of the slopes does not equal -1 -> intersecting
2. Slopes are the same Y-intercepts are the same -> parallel & coincident
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
1. "y" is already isolated in the equation.Extract slope (value with x) and y-intercept (value without x)
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
2. Need to transform the equation to isolate the 'y' variable.Then extract the slope & y-intercept value.
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
3. Calculate the slope and y-intercept values.
Review
Once you have determined the slopes & y-intercept... Step 1: Compare the slope values. 2a. If the slopes are the same, compare the y-intercept values. If slopes are the same but the y-intercepts are different -> parallel & distinct If slopes are the same and the y-intercepts are the same -> parallel & coincident 2b. If the slopes are not the same, multiply the two slopes. (not necessary to compare the y-intercepts in this case) If multiplying the two slopes equals to -1 -> perpendicular If multiplying the two slopes does not equal to -1 -> intersecting *Write down some notes before continuing to the exercises.
start exercises
back to review
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine he relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Summary
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
Don't remember? Click on the lightbulb for hints!
2/5
Isolate 'y' in the 5y - 2x = 1 eqution. *Hints: minus becomes plus multiplication becomes division
Don't remember? Click on the lightbulb for hints!
2/5
Now that the 5y - 2x = 1 is transformed into y = 0.2 + 0.4x
2/5
Now that the 5y - 2x = 1 is transformed into y = 0.2 + 0.4x
2/5
Now that you have both slopes and y-intercepts from both equations... What's next?
Don't remember? Click on the lightbulb for hints!
2/5
Now that you have both slopes and y-intercepts from both equations... Wha's next?
2/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
2/5
Now that we have established that the slopes are the same, what's next?
2/5
summary
3/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
3/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
3/5
Calculate the slope of the straight line that passes through (0,2) and (-4, -12)
Don't remember? Click on the lightbulb for hints!
slope = 2.5
slope = 3.5
slope = 4
slope = -0.5
3/5
Calculate the y-intercept of the straight line that passes through (0,2) and (-4, -12)
Don't remember? Click on the lightbulb for hints!
y-intercept = 2
y-intercept = 0
y-intercept = -26
3/5
Now that you have both slopes and y-intercepts from both functions... What's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that you have both slopes and y-intercepts from both functions... What's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
3/5
Don't remember? Click on the lightbulb for hints!
summary
4/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it. 1. Isolate the 'y' variable in 2y + 8x -5 =0
Don't remember? Click on the lightbulb for hints!
y = 4x + 5
y = -8x + 3
y = -4x + 2.5
4/5
Now that 2y + 8x -5 = 0 is transformed into y = -4x + 2.5
4/5
Now that 2y + 8x -5 = 0 is transformed into y = -4x + 2.5
4/5
Determine the equation of the straight line that passes through (4, -4) and (-4, -6)
Don't remember? Click on the lightbulb for hints!
y = 0.25x -5
y = 1.25x -9
y = 0.8x +0.8
4/5
Now that we have determine the straight line that passes through (4,-4) and (-4, -6) can be represented as y = 0.25x - 5
4/5
Now that we have determine the straight line that passes through (4,-4) and (-4, -6) can be represented as y = 0.25x - 5
4/5
Determine the relationship between these two linear functions.
Don't remember? Click on the lightbulb for hints!
Parallel & distinct Slope are the same. Y-intercept are different.
Perpendicular Slopes are different. Multiply the two slope equal to -1
Intersecting Slopes are different. Multiply the two slopes does not equal to -1
Summary
5/5
Determine the relationship between these two linear functions. Click on the picture to enlarge it.
Parallel & distinct Slope are the same. Y-intercept are different.
Intersecting Slopes are different. Multiply the two slope equal to -1
Perpendicular Slopes are different.Multiply the two slope equal to -1
Summary
congrats
Try again!
wrong
Try again
MTH4151-relationship between two linear functions
Shang-Jung Lee
Created on March 31, 2023
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Transcript
Quiz
Math
Relationship between two linear functions
Start
Review
Compare the slope and y-intercept values of two linear function to determine their relationship.
1. Slopes are the same y-Intercepts are different -> parallel & distinct
3. Slopes are not the same & producte of the slope equals -1 -> perpendicular
4. Slopes are not the same & product of the slopes does not equal -1 -> intersecting
2. Slopes are the same Y-intercepts are the same -> parallel & coincident
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
1. "y" is already isolated in the equation.Extract slope (value with x) and y-intercept (value without x)
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
2. Need to transform the equation to isolate the 'y' variable.Then extract the slope & y-intercept value.
Review
There are 3 ways you can determine the slope and y-intercept values of a linear funciton.
3. Calculate the slope and y-intercept values.
Review
Once you have determined the slopes & y-intercept... Step 1: Compare the slope values. 2a. If the slopes are the same, compare the y-intercept values. If slopes are the same but the y-intercepts are different -> parallel & distinct If slopes are the same and the y-intercepts are the same -> parallel & coincident 2b. If the slopes are not the same, multiply the two slopes. (not necessary to compare the y-intercepts in this case) If multiplying the two slopes equals to -1 -> perpendicular If multiplying the two slopes does not equal to -1 -> intersecting *Write down some notes before continuing to the exercises.
start exercises
back to review
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine he relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
1/5
Summary
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
2/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
Don't remember? Click on the lightbulb for hints!
2/5
Isolate 'y' in the 5y - 2x = 1 eqution. *Hints: minus becomes plus multiplication becomes division
Don't remember? Click on the lightbulb for hints!
2/5
Now that the 5y - 2x = 1 is transformed into y = 0.2 + 0.4x
2/5
Now that the 5y - 2x = 1 is transformed into y = 0.2 + 0.4x
2/5
Now that you have both slopes and y-intercepts from both equations... What's next?
Don't remember? Click on the lightbulb for hints!
2/5
Now that you have both slopes and y-intercepts from both equations... Wha's next?
2/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
2/5
Now that we have established that the slopes are the same, what's next?
2/5
summary
3/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
3/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it.
3/5
Calculate the slope of the straight line that passes through (0,2) and (-4, -12)
Don't remember? Click on the lightbulb for hints!
slope = 2.5
slope = 3.5
slope = 4
slope = -0.5
3/5
Calculate the y-intercept of the straight line that passes through (0,2) and (-4, -12)
Don't remember? Click on the lightbulb for hints!
y-intercept = 2
y-intercept = 0
y-intercept = -26
3/5
Now that you have both slopes and y-intercepts from both functions... What's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that you have both slopes and y-intercepts from both functions... What's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
3/5
Now that we have established that the slopes are the same, what's next?
Don't remember? Click on the lightbulb for hints!
3/5
Don't remember? Click on the lightbulb for hints!
summary
4/5
Follow the step-by-step prompts to determine the relationship between the these two linear functions. Click on the picture to enlarge it. 1. Isolate the 'y' variable in 2y + 8x -5 =0
Don't remember? Click on the lightbulb for hints!
y = 4x + 5
y = -8x + 3
y = -4x + 2.5
4/5
Now that 2y + 8x -5 = 0 is transformed into y = -4x + 2.5
4/5
Now that 2y + 8x -5 = 0 is transformed into y = -4x + 2.5
4/5
Determine the equation of the straight line that passes through (4, -4) and (-4, -6)
Don't remember? Click on the lightbulb for hints!
y = 0.25x -5
y = 1.25x -9
y = 0.8x +0.8
4/5
Now that we have determine the straight line that passes through (4,-4) and (-4, -6) can be represented as y = 0.25x - 5
4/5
Now that we have determine the straight line that passes through (4,-4) and (-4, -6) can be represented as y = 0.25x - 5
4/5
Determine the relationship between these two linear functions.
Don't remember? Click on the lightbulb for hints!
Parallel & distinct Slope are the same. Y-intercept are different.
Perpendicular Slopes are different. Multiply the two slope equal to -1
Intersecting Slopes are different. Multiply the two slopes does not equal to -1
Summary
5/5
Determine the relationship between these two linear functions. Click on the picture to enlarge it.
Parallel & distinct Slope are the same. Y-intercept are different.
Intersecting Slopes are different. Multiply the two slope equal to -1
Perpendicular Slopes are different.Multiply the two slope equal to -1
Summary
congrats
Try again!
wrong
Try again