We can locate, or plot, points in the Cartesian coordinate system using ordered pairs, which are defined as displacement from the x- axis and displacement from the y- axis The distance formula is derived from the Pythagorean Theorem and is used to find the length of a line segment

Finding the x- and y- intercepts can define the graph of a line. The midpoint formula provides a method of finding the coordinates of the midpoint dividing the sum of the x -coordinates and the sum of the y -coordinates of the endpoints by 2

distance formula — a formula that can be used to find the length of a line segment if the endpoints are known. ordered pair — a pair of numbers indicating horizontal displacement and vertical displacement from the origin; also known as a coordinate pair, ( x , y ). Pythagorean Theorem — a theorem that states the relationship among the lengths of the sides of a right triangle, used to solve right triangle problems. midpoint formula — a formula to find the point that divides a line segment into two parts of equal length.