Finding Slope

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, represented as a ratio of the vertical change to the horizontal change between two points.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a slope of zero mean?

Back

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

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

Find the slope of the points (2, 3) and (5, 11).

Back

The slope is 8/3.

Front

Find the slope of the points (-4, 5) and (-4, 2).

Back

The slope is undefined.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.