Applying Distance and Midpoint Formulas in Algebra

What is the distance formula used for?

• Finding the midpoint between two points

• Determining the distance between two points

• Calculating the slope of a line

• Finding the equation of a line

Which theorem is the distance formula based on?

• Pythagorean theorem

• Midpoint theorem

• Distance theorem

• Slope theorem

What is the result of simplifying the distance formula for points (-4, 8) and (8, -4)?

• 24√2

• 24

• 12√2

• 12

How do you find the midpoint between two points?

• Subtract the x-values and y-values, then divide by 2

• Add the x-values and y-values, then divide by 2

• Multiply the x-values and y-values, then divide by 2

• Divide the x-values and y-values, then add 2

What is the midpoint between the points (6, -3) and (10, -9)?

• (7, -6)

• (7, -5)

• (8, -6)

• (8, -5)

What is the slope formula?

• Sum of X and Y values

• Difference of X and Y values

• Change in Y over change in X

• Change in X over change in Y

What is the relationship between the slopes of two perpendicular lines?

• They are positive reciprocals

• They are the same

• They are equal

• They are negative reciprocals

What is the slope of a line perpendicular to a line with slope 3/2?

• -2/3

• 3/2

• 2/3

• -3/2

What is the y-intercept of the perpendicular bisector of the points (3, 8) and (7, 14)?

• 63/3

• 53/3

• 43/3

• 33/3

What is the equation of the perpendicular bisector of the points (-3, -6) and (-1, 2)?

• y = 1/4x - 5/2

• y = -1/4x + 5/2

• y = 1/4x + 5/2

• y = -1/4x - 5/2