Exploring Coordinate Geometry

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

• d = (x2 - x1) + (y2 - y1)

• d = |x2 - x1| + |y2 - y1|

• d = √((x2 - x1)² + (y2 - y1)²)

• d = (x2 + x1)² + (y2 + y1)²

How do you find the midpoint of a line segment between two points?

• Midpoint = (x1 + x2, y1 + y2)

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

• Midpoint = ((x1 - x2) / 2, (y1 - y2) / 2)

• Midpoint = (x1 + y1, x2 + y2)

What is the slope of a line given two points (x1, y1) and (x2, y2)?

• (y1 + y2) / (x1 + x2)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

• (y2 - y1) / (x2 - x1)

What is the equation of a line in slope-intercept form?

• y = mx - b

• y = mx + b

• y = b + mx

• y = m + bx

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

• Lines are parallel if slopes are different; lines are perpendicular if the product of slopes is 0.

• Lines are parallel if slopes are equal; lines are perpendicular if the product of slopes is -1.

• Lines are parallel if one slope is the reciprocal of the other; lines are perpendicular if slopes are equal.

• Lines are parallel if slopes are negative; lines are perpendicular if the product of slopes is 1.