Slope Intro

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

What does 'rise over run' mean?

Back

'Rise over run' refers to the formula for calculating slope, where 'rise' is the vertical change and 'run' is the horizontal change between two points on a 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 slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is 0, leading to division by zero.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the interpretation of a slope of 2/3?

Back

A slope of 2/3 means that for every 3 units you move to the right, you move up 2 units.

Front

What is the constant of proportionality in a linear relationship?

Back

The constant of proportionality is the slope of the line, representing the ratio of change in y to change in x.

Front

How can you identify a line with zero slope on a graph?

Back

A line with zero slope is horizontal and does not rise or fall as it moves from left to right.