Slope Comparison Practice

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 (rise) to the horizontal change (run) 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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

How do you determine which line has a steeper slope?

Back

To determine which line has a steeper slope, compare the absolute values of their slopes; the line with the larger absolute value has the steeper slope.

Front

If the slope of a line is 1, what does this mean?

Back

A slope of 1 means that for every unit increase in the x-coordinate, the y-coordinate increases by the same amount, resulting in a 45-degree angle with the x-axis.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as the x-coordinate changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change as the y-coordinate changes.

Front

How can you visually identify a line with a positive slope on a graph?

Back

A line with a positive slope will rise from the left side of the graph to the right side.

Front

How can you visually identify a line with a negative slope on a graph?

Back

A line with a negative slope will fall from the left side of the graph to the right side.

Front

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

Back

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