Interpret Slope from a Graph

Front

What is slope in a graph?

Back

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

Front

What does a positive slope indicate about a graph?

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 graph?

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 vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it involves division by zero (no horizontal change).

Front

Back

It means for every 4 units moved horizontally, the graph rises by 1 unit vertically.

Front

In the context of a distance vs. time graph, what does the slope represent?

Back

The slope represents the speed or rate of travel, calculated as distance divided by time.

Front

If a candle's height decreases over time, what does the slope of the graph represent?

Back

The slope represents the rate at which the candle is losing height each hour.

Front

What does a slope of 25 words per minute indicate in a writing speed graph?

Back

It indicates that the person can write 25 words for every minute spent writing.