Applying Distance and Midpoint Formulas in Algebra

What are the two main types of problems you might encounter with the distance and midpoint formulas?

• Finding the slope and the y-intercept

• Finding the angle and the hypotenuse

• Finding the area and the perimeter

• Finding the distance and the midpoint between two points

In the distance formula, what do the subscripts in x₁, y₁, x₂, and y₂ represent?

• The coordinates of the midpoint

• The coordinates of two points

• The slope and y-intercept

• The radius and diameter

What is the first step in using the distance formula?

• Finding the midpoint

• Labeling the points

• Calculating the slope

• Drawing a graph

When substituting values into the distance formula, what operation is performed on the differences of the coordinates?

• Addition

• Squaring

• Subtraction

• Multiplication

What is the final step in calculating the distance between two points?

• Multiplying by the slope

• Dividing by two

• Adding the coordinates

• Taking the square root

What does the midpoint formula calculate?

• The distance between two points

• The slope of a line

• The area of a triangle

• The midpoint of a line segment

In the midpoint formula, what operation is performed on the x-coordinates and y-coordinates?

• Subtraction and division

• Addition and division

• Multiplication and addition

• Division and subtraction

What is the x-coordinate of the midpoint if the points are (-1, 4) and (5, 8)?

• 2

• 3

• 5

• 4

What is the y-coordinate of the midpoint if the points are (-1, 4) and (5, 8)?

• 6

• 4

• 7

• 5

Which of the following statements is true about the midpoint formula?

• It always results in whole numbers

• It is used to find the area

• It can result in fractions or decimals

• It is used to find the slope