Finding Distances Using Absolute Value

This video tutorial teaches how to use absolute value to find distances between points on a coordinate plane. It begins with a review of absolute value, explaining it as the distance from zero on a number line. The tutorial highlights common mistakes in plotting points, such as incorrect axis movement and returning to the origin. It then demonstrates plotting points and calculating distances using absolute value, emphasizing that distance is always positive. The lesson concludes by summarizing the method of finding distances between points with the same x or y values using absolute value.

What does absolute value represent?

• The negative distance from zero

• The positive distance from zero

• The total distance between two points

• The difference between two numbers

What is the absolute value of -3?

• 0

• 6

• -3

• 3

What is a common mistake when plotting an ordered pair?

• Returning to the origin after plotting the x value

• Plotting both coordinates at the same time

• Moving along the y-axis first

• Starting on the x-axis then moving along the y-axis

What mistake is made if you move up on the y-axis first when plotting an ordered pair?

• None, it's the correct method

• You plot the point in the opposite quadrant

• You end up in the wrong quadrant

• You plot the point correctly

Where does point A (6,4) lie on the coordinate plane?

• Quadrant IV

• Quadrant III

• Quadrant I

• Quadrant II

What does the ordered pair (6,0) represent on the coordinate plane?

• A point in Quadrant II

• A point on the y-axis

• A point in Quadrant I

• A point on the x-axis

How is the distance between two points with the same x-value found?

• By subtracting their y-values

• By finding the absolute value of their y-values

• By multiplying their y-values

• By adding their y-values

What is the distance between points A (6,4) and B (6,0)?

• 8 units

• 4 units

• 2 units

• 6 units

If two points share the same y-value, how do you find the distance between them?

• By adding their x-values

• By dividing their x-values

• By finding the absolute value of their x-values

• By subtracting their x-values

What is the distance between points E (0,4) and F (6,4)?

• 10 units

• 6 units

• 4 units

• 2 units