Graphing Lines and Finding Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

This means that for every 2 units moved horizontally to the right, the line rises 1 unit vertically.

Front

What is the significance of the slope in real-world contexts?

Back

The slope can represent rates of change, such as speed, growth, or decline in various real-world situations.

Front

How can you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1, indicating a larger rise than run.

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope, meaning they rise and fall at the same rate.