Distance and Slope

Front

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

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What is the distance between the points (3, 2) and (9, 7)?

Back

The distance is 7.8.

Front

What is the slope of the line passing through the points (1, 2) and (4, 5)?

Back

Front

What is the distance between the points (-2, 1) and (4, 3)?

Back

The distance is 6.3.

Front

What is the slope of the line that goes through the points (2, 3) and (6, -1)?

Back

Front

Define 'slope' in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the distance between the points (0, 0) and (5, 12)?

Back

The distance is 13.

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.