Exploring Slope, Distance, and Midpoint Formulas

Which of the following formulas is used to calculate the slope of a line?

• Slope formula

• Quadratic formula

• Midpoint formula

• Distance formula

What does the lowercase letter 'm' represent in the slope formula?

• Distance

• Angle

• Slope

• Midpoint

Two lines are parallel if they have:

• Equal y-intercepts

• Different slopes

• Negative reciprocals of slopes

• Equal slopes

If the slope of line AB is 2, what should be the slope of line CD for them to be perpendicular?

• -1/2

• 1/2

• 2

• -2

What is the slope of a line if the coordinates of two points on the line are (3, 4) and (7, 8)?

• 1

• 2

• 1/2

• 4

The distance formula is derived from which theorem?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

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

• 3

• 7

• 5

• 5√2

Which formula is used to find the midpoint of a segment?

• Quadratic formula

• Distance formula

• Slope formula

• Midpoint formula

What are the coordinates of the midpoint of a segment with endpoints (2, 3) and (4, 7)?

• (3, 5)

• (3, 4)

• (1, 2)

• (6, 10)

If the midpoint of a segment is (2, 3) and one endpoint is (4, 5), what are the coordinates of the other endpoint?

• (1, 2)

• (0, 1)

• (2, 1)

• (0, 3)