Question

On a coordinate plane, a line is drawn between point (x 2, y 2) and (x 1, y 1). Which equation would find the distance between the two points show on the coordinate plane? d = StartRoot (x 2 + x 1) squared + (y 2 + y 1) squared EndRoot d = StartRoot (x 2 minus x 1) squared minus (y 2 minus y 1) squared EndRoot d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

Answer 1

Answer:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Given: A line is drawn between points $(x_2,x_1)\,,\,(y_2,y_1)$

To find: distance between the two points

Solution:

A coordinate plane is a two-dimensional plane formed by the intersection of a  y-axis and x-axis. x-axis and y-axis are perpendicular lines that intersect each other at the origin.

Let d denotes distance between the two points $(x_2,x_1)\,,\,(y_2,y_1)$

Use the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$