Slope and Rate of Change

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, 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

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

Identify the slope of the equation y = 5x + 3.

Back

The slope is 5.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by 'm'.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

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

What does 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.