Finding Distances Using Absolute Value

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does absolute value represent in mathematics?

Back

Absolute value represents the distance of a number from zero on the number line, regardless of direction.

Front

How do you find the distance between two points on the same vertical line?

Back

Subtract the y-coordinates and take the absolute value.

Front

How do you find the distance between two points on the same horizontal line?

Back

Subtract the x-coordinates and take the absolute value.

Front

What is the distance between the points (3, 5) and (3, -5)?

Back

Distance = |5 - (-5)| = |5 + 5| = 10.

Front

What is the distance between the points (-2, -4) and (2, 4)?

Back

Distance = √((2 - (-2))² + (4 - (-4))²) = √(4² + 8²) = √(16 + 64) = √80 = 4√5.

Front

What is the distance between the points (0, 6) and (-5, 6)?

Back

Distance = |0 - (-5)| = |0 + 5| = 5.

Front

What is the distance between the points (70, -12) and (10, -12)?

Back

Distance = |70 - 10| = 60.

Front

What is the distance between the points (15, 10) and (-11, 10)?

Back

Distance = |15 - (-11)| = |15 + 11| = 26.

Front

Which points can you find the distance using absolute value? (3, 5) and (-3, -5) or (3, -5) and (3, 5)?

Back

You can find the distance between (3, -5) and (3, 5) using absolute value.