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 (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line rises from left to right, what type of slope does it have?

Back

If a line rises from left to right, it has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

If a line falls from left to right, it has a negative slope.

Front

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

Back

The slope of the line represented by the equation y = 3x + 2 is 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line represented by the equation y = -2x + 5 is -2.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (vertical change) and run (horizontal change), and then use the formula slope = rise/run.

Front

What does a slope of 1 indicate about a line?

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.