Finding Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

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

Back

Slope (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, resulting in an upward slant 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, resulting in a downward slant from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

If the slope is represented as a fraction, what does the numerator represent?

Back

The numerator represents the change in the y-value (rise) between two points.

Front

If the slope is represented as a fraction, what does the denominator represent?

Back

The denominator represents the change in the x-value (run) between two points.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

What type of line has a slope of zero?

Back

A horizontal line has a slope of zero.