Finding Slope From 2 Points

Front

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

Back

The slope (m) is calculated using the formula: 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 slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Front

Calculate the slope between the points (1, 2) and (3, 4).

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

Calculate the slope between the points (0, 5) and (6, 2).

Back

The slope is -1/2, calculated as (2 - 5) / (6 - 0).

Front

Calculate the slope between the points (-2, -3) and (2, 3).

Back

The slope is 3/2, calculated as (3 - (-3)) / (2 - (-2)).

Front

If the slope of a line is 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit increase in x (run), y increases by 2 units (rise).

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.