Finding 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 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

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

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero in the slope formula.

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 change (rise) and the horizontal change (run), and calculating the ratio of rise to run.

Front

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

Back

The slope of a line that rises from left to right is positive.

Front

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

Back

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

Front

If a line has a slope of -2, what does this mean in terms of rise and run?

Back

A slope of -2 means that for every 1 unit you move to the right (run), the line falls 2 units (rise).