Finding Slope from Two Points

Front

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

Back

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

Front

Given the points (12, -4) and (15, 14), what is the slope of the line that passes through them?

Back

The slope is 6, calculated as (14 - (-4)) / (15 - 12) = 18 / 3 = 6.

Front

What does a positive slope indicate about the direction of a line on a graph?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line on a graph?

Back

A negative slope indicates that the line falls from left to right.

Front

If the slope of a line is zero, what does this mean about the line?

Back

A slope of zero means the line is horizontal.

Front

If the slope of a line is undefined, what does this mean about the line?

Back

An undefined slope means the line is vertical.

Front

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

Back

The slope is 1/4, calculated as (6 - 4) / (2 - (-6)) = 2 / 8 = 1/4.

Front

What is the slope of the line that passes through the points (5, 0) and (0, 5)?

Back

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

Front

How do you interpret a slope of -8?

Back

A slope of -8 indicates that for every 1 unit increase in x, y decreases by 8 units.

Front

What is the slope of the line that passes through the points (-1, 2) and (2, 5)?

Back

The slope is 1, calculated as (5 - 2) / (2 - (-1)) = 3 / 3 = 1.