fcms7 finding slope with 2 points

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about the relationship between two points on a graph?

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 about the relationship between two points on a graph?

Back

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

Front

What does a slope of zero mean in terms of a line on a graph?

Back

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

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change while the y-value does.

Front

How do you find the slope of a line given two points (2, 3) and (3, 5)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (5 - 3) / (3 - 2) = 2.

Front

Given the points (7, 4) and (5, 6), how do you calculate the slope?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (6 - 4) / (5 - 7) = -1.

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

If two points have the same y-coordinate, what can be said about the slope?

Back

If two points have the same y-coordinate, the slope is 0, indicating a horizontal line.