Semester Midpoints, Distance & the Coordinate Plane (S1)

Front

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

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

Front

What is the slope of a line given by the equation Ax + By = C?

Back

The slope m can be found by rearranging the equation to slope-intercept form (y = mx + b), where m = -A/B.

Front

If B is the midpoint of segment AC, how do you find the length of segment AB?

Back

The length of segment AB is half the length of segment AC.

Front

What is the slope of the line represented by the equation 3x + 7y = 35?

Back

Front

What is the y-coordinate of the midpoint of the line segment with endpoints (x1, y1) and (x2, y2)?

Back

The y-coordinate of the midpoint is (y1 + y2)/2.

Front

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

Back

Two lines are parallel if their slopes are equal.

Front

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

Back

The distance is 5.

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).

Front

What does the term 'endpoint' refer to in geometry?

Back

An endpoint is a point at the end of a line segment or the starting point of a ray.