Finding slope from 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 from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line on a graph?

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 0, leading to division by zero.

Front

How can you identify the slope of a line from a graph visually?

Back

You can identify the slope visually by selecting two points on the line, measuring the rise and run between them, and calculating the slope using the rise/run ratio.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

If a line has a slope of -5/4, what does this mean in terms of rise and run?

Back

A slope of -5/4 means that for every 4 units you move to the right (run), the line goes down 5 units (rise).

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.