Slope From a Graph

Front

What is the definition of 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 (rise) to the horizontal change (run) between two points on the line.

Front

How do you 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, meaning there is no vertical change as you move along the line.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is zero, leading to division by zero.

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope by selecting two points on the line, measuring the vertical rise and horizontal run between them, and calculating the ratio of rise to run.

Front

What is the slope of a line that rises 4 units for every 5 units it runs?

Back

The slope of the line is 4/5.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Front

If a line has a slope of 4/3, what does this mean in terms of rise and run?

Back

It means that for every 3 units the line runs horizontally, it rises 4 units vertically.