Slope from a graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change (the denominator is zero), making the slope calculation impossible.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, indicating that there is no vertical change (the numerator is zero), meaning the y-value remains constant.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

If a line passes through the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined because the line is vertical.

Front

What is the slope of a line that goes from (0, 0) to (3, 6)?

Back

Slope = (6 - 0) / (3 - 0) = 6/3 = 2.

Front

What is the slope of a line that goes from (1, 4) to (1, 1)?

Back

The slope is undefined because the line is vertical.