Slope from a Graph

Front

What is slope?

Back

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

Front

What is a positive slope?

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 is a negative slope?

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 is zero slope?

Back

Zero slope means that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change, and the slope cannot be calculated.

Front

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

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 1 indicate?

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 does a slope of -1 indicate?

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 slanting downward at a 45-degree angle.

Front

If a line rises 3 units and runs 5 units, what is the slope?

Back

The slope is calculated as 3/5.

Front

If a line falls 4 units and runs 2 units, what is the slope?

Back

The slope is calculated as -4/2 = -2.