Enrichment 12-3-24

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the 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, meaning the line rises from left to right.

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, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 2, what does this mean?

Back

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

Front

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

Back

Slope = (5 - 3) / (3 - 2) = 2.

Front

What is the slope of the line represented by the equation y = 6/5x + 2?

Back

The slope is 6/5.

Front

If a line has a slope of -5/3, what can you say about its direction?

Back

The line falls from left to right.