Practice Distance, Midpoint and Gradient

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (m = (y2 - y1) / (x2 - x1)).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If the slope of a line is m = 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be m = -1/3.

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the distance between the points (4, 3) and (0, 6)?

Back

5

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

5

Front

What is the slope of the line that passes through the points (2, 3) and (5, 11)?

Back

Slope = (11 - 3) / (5 - 2) = 8/3.

Front

What is the formula for the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1)