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

What is the definition of the midpoint of a line segment?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts. It can be calculated using the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

The distance (d) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

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

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the endpoint of a segment if one endpoint is (x1, y1) and the midpoint is (xm, ym)?

Back

The endpoint can be found using the formula: (x2, y2) = (2*xm - x1, 2*ym - y1).

Front

Calculate the slope between the points (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

The distance is d = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.