Finding Slope from 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 a positive slope indicate about a line?

Back

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

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x does not change, resulting in division by zero in the slope formula.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2

Front

Calculate the slope of the line that passes through the points (1, 1) and (1, 5).

Back

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

Front

If the slope of a line is 0, what does this mean about the line?

Back

A slope of 0 means the line is horizontal, indicating that y remains constant as x changes.

Front

Find the slope of the line that passes through the points (3, 4) and (6, 10).

Back

m = (10 - 4) / (6 - 3) = 6 / 3 = 2

Front

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

Back

m = (5 - 0) / (5 - 0) = 5 / 5 = 1

Front

Find the slope of the line that passes through the points (-1, -1) and (2, 2).

Back

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