Algebra Slope and Line Equations Flashcards

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.