CW 4-1 Slope from a Graph 2022

Front

What is a slope?

Back

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

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 zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning 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 line passing through the points (1, 2) and (3, 6).

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line passing through the points (2, 3) and (2, 5).

Back

The slope is undefined because the x-values are the same (2), indicating a vertical line.

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.