Rate of Change from 2 pts

Front

What is the formula to calculate the slope of a line 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 that 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 there is no change in the x-coordinate.

Front

Calculate the slope of the line that passes through (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

Calculate the slope of the line that passes through (-3, -4) and (7, 6).

Back

The slope is 1.

Front

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

Back

The slope is 2.

Front

Calculate the slope of the line that passes through (-2, 8) and (0, 8).

Back

The slope is 0.

Front

Calculate the slope of the line that passes through (5, -10) and (5, -4).

Back

The slope is undefined.