Slope of a Graph

Front

What is the slope of a graph?

Back

The slope of a graph is the ratio of vertical change (rise) to horizontal change (run), often expressed as change in y over change in x.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

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

How do you find the slope between two points (3, 4) and (7, 10)?

Back

Slope = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

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

Back

The slope is 2.