Slope from two points

Front

What is the formula to calculate 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

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line where y does not change as x changes.

Front

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

Back

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

Front

Find the slope of the line that passes through (1, 2) and (1, 5).

Back

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Front

Find the slope of the line that passes through (0, 0) and (3, 3).

Back

m = (3 - 0) / (3 - 0) = 3/3 = 1

Front

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

Back

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

Front

Find the slope of the line that passes through (5, 5) and (5, 10).

Back

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