Distance and Absolute Values in Coordinate Geometry

Mrs. Taylor's math class covers how to find the distance between points on a coordinate plane. The lesson includes examples of calculating distances when x or y coordinates are the same, using absolute values for calculation. The video concludes with a review of the methods discussed.

What is the first step in finding the distance between two points on a coordinate plane?

• Draw a line connecting the points.

• Calculate the slope between the points.

• Plot the points on the coordinate plane.

• Find the midpoint of the points.

In which quadrant is the point (-4, 5) located?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

How many units apart are the points (-4, 5) and (-4, -3)?

• 6 units

• 8 units

• 5 units

• 7 units

What is the distance between the points (3, -2) and (-4, -2)?

• 8 units

• 5 units

• 6 units

• 7 units

When the x-coordinates of two points are the same, how do you find the distance between them?

• Use the Pythagorean theorem.

• Count the spaces between the y-coordinates.

• Count the spaces between the x-coordinates.

• Find the midpoint of the y-coordinates.

How do you calculate the distance between points (7, -4) and (7, 5) using absolute values?

• Add the absolute values of the x-coordinates.

• Subtract the absolute values of the y-coordinates.

• Subtract the absolute values of the x-coordinates.

• Add the absolute values of the y-coordinates.

What is the result of adding the absolute values of -4 and 5?

• 9

• 10

• 8

• 7

If the y-coordinates of two points are the same, what method can be used to find the distance?

• Use the midpoint formula.

• Calculate the slope.

• Count the spaces between the x-coordinates.

• Use the distance formula.

What is the distance between the points (3, -2) and (-4, -2) using absolute values?

• 5 units

• 6 units

• 7 units

• 8 units

What is the sum of the absolute values of 5 and -3?

• 7

• 6

• 8

• 9