Understanding Slope and Y-Intercept

Front

Definition of Slope

Back

The ratio of the vertical change to the horizontal change between two points on a line.

Front

Y-Intercept Definition

Back

The point where a line crosses the y-axis.

Front

Slope-Intercept Form

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Real-World Slope Problem

Back

Slope represents speed in distance-time graphs.

Front

Positive Slope

Back

Line rises from left to right.

Front

Negative Slope

Back

Line falls from left to right.

Front

Zero Slope

Back

Horizontal line, no vertical change.

Front

Undefined Slope

Back

Vertical line, no horizontal change.

Front

Y-Intercept Example

Back

In y = 3x + 4, y-intercept is 4.