Types of Slope/Finding Slope from a Graph

Front

What is the definition of slope in mathematics?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope is represented by a horizontal line?

Back

A horizontal line has a slope of zero.

Front

What type of slope is represented by a vertical line?

Back

A vertical line has an undefined slope.

Front

What type of slope is represented by a line that goes up from left to right?

Back

A line that goes up from left to right has a positive slope.

Front

What type of slope is represented by a line that goes down from left to right?

Back

A line that goes down from left to right has a negative slope.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the vertical change (rise) and the horizontal change (run), and then use the slope formula.

Front

What does a slope of -1/3 indicate about the line?

Back

A slope of -1/3 indicates that for every 3 units moved horizontally to the right, the line moves down 1 unit.

Front

What is the significance of a slope of zero in real-world applications?

Back

A slope of zero indicates no change in the dependent variable as the independent variable changes, often representing a constant value.

Front

In what scenarios would you encounter an undefined slope?

Back

An undefined slope occurs in vertical lines, where the change in x is zero, leading to division by zero in the slope formula.