Slope

Front

What is slope?

Back

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 determine if a relationship is linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, meaning the rate of change between any two points is constant.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of the two variables remains constant, and the graph passes through the origin.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

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 change in x is 0, leading to division by zero.

Front

If the slope of a line is -3, what does this mean?

Back

A slope of -3 means that for every 1 unit increase in x, the y-value decreases by 3 units.