Slope from two points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What do the x-coordinates represent in a coordinate plane?

Back

The x-coordinates represent the horizontal position of a point on the coordinate plane.

Front

What do the y-coordinates represent in a coordinate plane?

Back

The y-coordinates represent the vertical position of a point on the coordinate plane.

Front

If a line passes through the points (2, 3) and (5, 7), what is the slope?

Back

The slope is m = (7 - 3) / (5 - 2) = 4 / 3.

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 vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you identify the rise and run in the slope formula?

Back

The rise is the change in y (y2 - y1) and the run is the change in x (x2 - x1).

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or incline.