Slope Intro

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

What does 'rise over run' mean in relation to slope?

Back

'Rise over run' refers to the formula for calculating slope, where 'rise' is the change in the y-coordinate and 'run' is the change in the x-coordinate.

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 as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change (run) is 0, leading to division by zero.

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Front

What is the significance of a slope of -1?

Back

A slope of -1 indicates that for every unit increase in x, there is a corresponding unit decrease in y, resulting in a line that falls at a 45-degree angle.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, indicating that there is no horizontal change (run) and the line does not rise or fall.