Questions and Answers
What is the slope of a line?
Slope = Rise/Run
What is the slope-intercept form of the equation of a line?
y=mx+b
What is the equation of a vertical line?
x=a
What is the equation of a horizontal line?
Signup and view all the answers
What are parallel lines?
Signup and view all the answers
How do we use slope as a rate of change?
Signup and view all the answers
Give an example of slope as a rate of change.
Signup and view all the answers
Give another example of slope as a rate of change.
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
