Slope, Distance, Midpoint & Endpoint Review

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

Front

What is the midpoint formula for a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint (M) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If the midpoint of a segment is (3, 4) and one endpoint is (1, 2), how do you find the other endpoint?

Back

Let the other endpoint be (x, y). Use the midpoint formula: (3, 4) = ((1 + x)/2, (2 + y)/2). Solve for x and y.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

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

Front

Calculate the distance between the points (2, 3) and (5, 7).

Back

Front

Find the slope of the line passing through the points (1, 2) and (3, 4).

Back

Using the slope formula: m = (4 - 2) / (3 - 1) = 2 / 2 = 1.