Finding Slope from a Graph Flashcard

Front

What is slope?

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).

Front

How do you calculate slope from a graph?

Back

Slope is calculated using the formula: Slope = Rise / Run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

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 a line rises from left to right, what type of slope does it have?

Back

It has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

It has a negative slope.

Front

What is the formula for slope in terms of two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.