Types of Slope

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. It is represented by a line that rises 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. It is represented by a line that falls from left to right.

Front

What is a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning the x-value does not change while the y-value does.

Front

How do you determine the slope of a line from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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 that falls at a 45-degree angle.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the x-value does not change, leading to division by zero in the slope formula.

Front

How can you identify the slope from a linear equation in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, 'm' represents the slope of the line.