Calculating Slope Between Two Points

Front

What is the formula to calculate the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning the x-coordinates are the same, and the slope formula results in division by zero.

Front

Calculate the slope between the points (2, -7) and (-1, 6).

Back

The slope is -13/3.

Front

Calculate the slope between the points (-4, 3) and (-4, -7).

Back

The slope is undefined.

Front

Calculate the slope between the points (-3, 3) and (7, 6).

Back

The slope is 3/10.

Front

Calculate the slope between the points (-1, -9) and (5, -6).

Back

The slope is 1/2.

Front

Calculate the slope between the points (-2, 8) and (0, 8).

Back

The slope is 0.