Understanding and Calculating Slope in Graphs

Slope

Describes steepness and direction of a line.

Rise

Vertical distance between two points on a line.

Run

Horizontal distance between two points on a line.

Positive Slope

Indicates a line rises from left to right.

Negative Slope

Indicates a line falls from left to right.

Zero Slope

Represents a horizontal line on a graph.

Undefined Slope

Represents a vertical line on a graph.

Slope Formula

m = (y2 - y1) / (x2 - x1).

Absolute Value of Slope

Indicates the steepness of the line numermically.

Real-world Applications of Slope

Used in road grades and roof steepness calculations.

Slope Characteristics

Sign and magnitude provide information about the line.

Grade of a Road

Slope calculated to determine steepness for vehicles.

Rate of Change

Analyzes how one quantity changes relative to another.

Mathematical Concept

Fundamental idea in mathematics related to linear functions.

Graph Interpretation

Understanding slope aids in analyzing graph behavior.

Slope in Context

Essential for solving speed, distance, and time problems.

Steepness Indicator

Larger slope values indicate a steeper line.