Enrichment 12-3-24

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if the slope of a line is positive?

Back

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

Front

What does it mean if the slope of a line is negative?

Back

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

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 (2, 3) and (3, 5), what is the slope?

Back

The slope is 2.

Front

Given the points (-2, -3) and (2, 3), what is the slope?

Back

The slope is 3/2.

Front

If a line has a slope of 3, what does this indicate about the relationship between x and y?

Back

For every increase of 1 in x, y increases by 3.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined if the line is vertical, meaning the x-coordinates of the two points are the same.