Finding Slope Between Two Points

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where there is no change in y-value as x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line where there is no change in x-value as y-value changes.

Front

If the points (2, 3) and (4, 7) are given, what is the slope?

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

If the points (1, 2) and (1, 5) are given, what is the slope?

Back

Slope is undefined because the x-values are the same (1).

Front

If the points (3, 4) and (5, 4) are given, what is the slope?

Back

Slope = (4 - 4) / (5 - 3) = 0 / 2 = 0.

Front

What is the slope of a line that goes through the points (0, 0) and (2, 2)?

Back

Slope = (2 - 0) / (2 - 0) = 2 / 2 = 1.