Types of Slopes

Front

What is the definition of a slope in mathematics?

Back

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

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What type of slope is represented by a horizontal line?

Back

A horizontal line has a slope of 0.

Front

What type of slope is represented by a vertical line?

Back

A vertical line has an undefined slope.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you identify a positive slope on a graph?

Back

A positive slope can be identified on a graph as a line that rises from left to right.

Front

How can you identify a negative slope on a graph?

Back

A negative slope can be identified on a graph as a line that falls from left to right.

Front

What type of slope does the equation y = 3x + 2 represent?

Back

The equation y = 3x + 2 represents a positive slope of 3.

Front

What type of slope does the equation y = -4x + 1 represent?

Back

The equation y = -4x + 1 represents a negative slope of -4.