Graphing and Solving Mathematical Problems on a Coordinate Plane

This lesson teaches how to graph and solve mathematical problems using the coordinate plane. It covers finding distances between points using absolute value, common mistakes in plotting ordered pairs, and calculating the length and width of rectangles on the coordinate plane. The lesson includes examples to illustrate these concepts, emphasizing that distance is always positive.

What is the distance between two points on the same horizontal line if their x-coordinates are -8 and 3?

• 8 units

• 5 units

• 15 units

• 11 units

When finding the length of a rectangle on a coordinate plane, what should you do if the points share a y-coordinate?

• Find the absolute value of the difference in y-coordinates

• Add the x-coordinates together

• Find the absolute value of the difference in x-coordinates

• Subtract the y-coordinates from each other

If points B and C share an x-coordinate of -5, how do you find the width of the rectangle?

• Find the absolute value of the difference in y-coordinates

• Multiply the x-coordinates

• Divide the y-coordinates

• Calculate the sum of the y-coordinates

What is the length of a rectangle if the points are (7,4) and (-2,4)?

• 5 units

• 11 units

• 7 units

• 9 units

How do you determine the width of a rectangle if the points are (-2,4) and (-2,-6)?

• Subtract the x-coordinates from each other

• Add the y-coordinates together

• Find the absolute value of the difference in y-coordinates

• Find the absolute value of the difference in x-coordinates