Find Slope from a graph

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate slope from a graph?

Back

To calculate slope from a graph, identify two points on the line (x1, y1) and (x2, y2). Use the formula: Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Front

If a line falls 4 units for every 5 units it runs, what is the slope?

Back

The slope is -4/5.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.