Types of Slope

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 to the horizontal change between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change and the vertical change is non-zero.

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

What is the slope of the line represented by the equation y = -3/2x + 4?

Back

The slope of the line is -3/2.

Front

What type of slope does the equation y = 4 represent?

Back

The equation y = 4 represents a horizontal line, which has a slope of 0.

Front

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

Back

The equation x = 2 represents a vertical line, which has an undefined slope.

Front

If a line has a slope of -4/3, what does this indicate about its direction?

Back

A slope of -4/3 indicates that the line falls from left to right, with a steepness of 4 units down for every 3 units to the right.