Finding Slope Between Two Points

Front

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

Back

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

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What does it mean if the slope is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates are the same.

Front

Calculate the slope of the line that passes through (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2

Front

Calculate the slope of the line that passes through (0, 0) and (4, 4).

Back

m = (4 - 0) / (4 - 0) = 4 / 4 = 1

Front

Calculate the slope of the line that passes through (2, 3) and (2, 5).

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates a steep line that rises 3 units for every 1 unit it moves to the right.

Front

Find the slope of the line that passes through (4, 2) and (6, 10).

Back

m = (10 - 2) / (6 - 4) = 8 / 2 = 4