Types of Slope

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 are the four types of slope?

Back

The four types of slope are: 1) Positive Slope, 2) Negative Slope, 3) Zero Slope, 4) Undefined Slope.

Front

How do you identify a positive slope?

Back

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

Front

How do you identify a negative slope?

Back

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

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in the x-value, leading to a division by zero in the slope formula.

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

If a line has a slope of 0, what can you say about its equation?

Back

The equation of a line with a slope of 0 is of the form y = b, where b is a constant.

Front

If a line has a slope of 1, what does this indicate about the angle of the line?

Back

A slope of 1 indicates that the line makes a 45-degree angle with the positive x-axis.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.