Algebra 1
Linear Functions and Graphs flashcards
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- What does rise over run mean?Rate of Change and Slope
- A ratio of output change to input change.
- What makes slope undefined?Rate of Change and Slope
- A zero horizontal change between distinct points.
- How would you define positive and negative slopes?Rate of Change and Slope
- The direction and rate of a nonvertical line.
- Is a horizontal line undefined in slope?Rate of Change and Slope
- No, its slope is zero.
- What is meant by units of slope?Rate of Change and Slope
- The dimensional meaning of a rate of change.
- Why report slope units?Rate of Change and Slope
- A bare number may hide what changes per what.
- What does form y=mx+b mean?Slope-Intercept Form
- A linear equation exposing rate and initial output.
- Where does the graph cross the y-axis?Slope-Intercept Form
- At (0,b).
- How would you define graphing from an intercept?Slope-Intercept Form
- Constructing a line from intercept and slope.
- Why are two distinct points enough?Slope-Intercept Form
- Exactly one line passes through them.
- What is meant by interpreting context?Slope-Intercept Form
- Reading meaningful coefficients in a contextual rule.
- When can b lack a real-world interpretation?Slope-Intercept Form
- When input zero lies outside the modeled domain.
- What does point-slope form mean?Point-Slope and Standard Forms
- An equation anchoring a line at a given point.
- Why check the given point?Point-Slope and Standard Forms
- Substitution should make both sides zero.
- How would you define linear standard form?Point-Slope and Standard Forms
- A line equation with linear terms on one side.
- How can the y-intercept be found?Point-Slope and Standard Forms
- Set x=0 if B is nonzero.
- What is meant by converting linear forms?Point-Slope and Standard Forms
- An algebraic change in form for the same line.
- Can a vertical line be written y=mx+b?Point-Slope and Standard Forms
- No, it has undefined slope.
- What does parallel slopes mean?Parallel and Perpendicular Lines
- A common slope for distinct parallel lines.
- Are equal slopes alone enough to prove distinct parallel lines?Parallel and Perpendicular Lines
- No, the lines may be identical.
- How would you define perpendicular slopes?Parallel and Perpendicular Lines
- The negative reciprocal slope relationship.
- What is perpendicular to a horizontal line?Parallel and Perpendicular Lines
- A vertical line.
- What is meant by writing a related line?Parallel and Perpendicular Lines
- Constructing a parallel or perpendicular line through a point.
- Why use the supplied point?Parallel and Perpendicular Lines
- It chooses one line among many with the required slope.
- What does fitting a line mean?Linear Modeling and Residuals
- A simplified constant-rate description of data.
- Does a fitted line pass through every data point?Linear Modeling and Residuals
- Usually not; it summarizes a pattern.
- How would you define residuals?Linear Modeling and Residuals
- The vertical prediction error at a given input.
- What does a positive residual mean?Linear Modeling and Residuals
- The observation is above the prediction.
- What is meant by interpolation and extrapolation?Linear Modeling and Residuals
- Two locations for using a fitted model relative to data.
- Why is distant extrapolation risky?Linear Modeling and Residuals
- The original trend may not continue.