Learn how to apply the distance formula to find the length between two points. Visualize distances directly on the coordinate grid.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Can the distance formula be used to find the distance between [math](0,0)[/math] and [math](6,0)[/math]? Is there an alternative way to calculate this distance?
Casey is calculating the distance from her school at [math](-2,3)[/math] to the store at [math](4,1)[/math]. She sets up the following expression: [br] [math]\sqrt{(-2-4)^2+(1-3)^2}[/math] [br][br]Is this calculation correct? Why or why not?
What does [math]x_2-x_1[/math] represent? What does [math]y_2-y_1[/math] represent?