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 about a line?

Back

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

Front

What does a slope of zero indicate about a line?

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: (1, 2) and (3, 6).

Back

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

Front

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

Back

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Front

Find the slope of the line that passes through: (4, 1) and (6, 3).

Back

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

Front

Find the slope of the line that passes through: (0, 0) and (5, 5).

Back

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

Front

Find the slope of the line that passes through: (3, 4) and (3, 1).

Back

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