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Questions and Answers
What is the slope of a line?
What is the slope of a line?
Slope = Rise/Run
What is the slope-intercept form of the equation of a line?
What is the slope-intercept form of the equation of a line?
y=mx+b
What is the equation of a vertical line?
What is the equation of a vertical line?
x=a
What is the equation of a horizontal line?
What is the equation of a horizontal line?
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What are parallel lines?
What are parallel lines?
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How do we use slope as a rate of change?
How do we use slope as a rate of change?
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Give an example of slope as a rate of change.
Give an example of slope as a rate of change.
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Give another example of slope as a rate of change.
Give another example of slope as a rate of change.
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Study Notes
Slope of a Line
- Slope is defined as the ratio of vertical change (rise) to horizontal change (run).
- Formula: Slope = Rise/Run.
Slope-Intercept Form
- The slope-intercept form of a line is expressed as y = mx + b.
- In this equation, m represents the slope and b represents the y-intercept.
Vertical Line Equation
- The equation of a vertical line through the point (a, b) is given as x = a.
- The slope of a vertical line is considered undefined.
Horizontal Line Equation
- The equation of a horizontal line through the point (a, b) is given as y = b.
- The slope of a horizontal line is always 0.
Parallel Lines
- Two non-vertical lines are classified as parallel if both have identical slopes.
Slope as Rate of Change
- The slope of a line can be interpreted as the rate of change between two correlated quantities.
- It indicates how one quantity changes in relation to the other.
Example of Slope as Rate of Change
- A specific example should illustrate how slope reflects the change between two related variables; further details are necessary to demonstrate this concept.
Additional Example of Slope as Rate of Change
- Another concrete example can help in understanding how slope serves as the rate of change between quantities; examples pending further elaboration.
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Description
Test your knowledge of slopes and equations of lines with these flashcards. Review key concepts such as the slope formula, slope-intercept form, and equations of vertical lines. Perfect for students looking to strengthen their algebra skills.
