2.2a Finding slope from a table and 2 points

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

How do you interpret a positive slope?

Back

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

Front

How do you interpret a negative slope?

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 vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Given the points (4, 6) and (4, -8), what is the slope?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

Given the points (-2, 5) and (4, 5), what is the slope?

Back

The slope is 0 because the y-coordinates are the same, indicating a horizontal line.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

A slope of 3 means that for every 1 unit you move to the right (run), the line rises 3 units (rise).