Slope

Front

What is the definition of slope in a linear relationship?

Back

The slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change while the y-value changes.

Front

If a line has a slope of 2, what does this mean in practical terms?

Back

It means that for every 1 unit increase in the x-direction, the y-value increases by 2 units.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run between them.

Front

Back

The slope of the line is -3.