Semester 1 Review

Front

What is the midpoint formula for 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

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

Back

(3.5, -0.5)

Front

If D is the midpoint of EF and ED = 4x + 6, DF = 7x - 9, how do you find EF?

Back

EF = ED + DF = (4x + 6) + (7x - 9) = 11x - 3.

Front

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

Back

Front

Find the distance between the points (-12, 1) and (12, -1).

Back

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite (sign) reciprocals.

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is given by m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 2, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/2.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

How do you calculate the length of a line segment given its endpoints?

Back