![]() If you end up with a negative value under the square root in the very end, it's a sign you did something wrong! Make sure to use parentheses if you're plugging this into a calculator.ĭouble check with your teacher to see if you should be giving your answer in simplified radical form ( How do you simplify a radical?) or as a rounded decimal ( How do you round a decimal?). If you cannot remember the Distance Formula, you can always draw a graph and use a right triangle and the Pythagorean Theorem to find the numerical. You should also remember that the Distance Formula is really just a coordinate geometry way of writing the Pythagorean Theorem. It doesn't matter in the end because you square the value so it will come out positive either way. The Distance Formula is a commonly used formula and worth remembering. The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by a2 + b2 c2, where a and b are legs of the triangle and c is the hypotenuse of the triangle. The length of the leg is actually the absolute value of the difference. The distance between two points (x1, y1) and (x2, y2) can be defined as d (x2 x1)2 + (y2 y1)2. ![]() It just depends on the order that you labeled the points, sometimes you're going to get a negative value when you subtract. If you look at the graph, you can see that the length of the vertical leg is a positive 6. When you subtract the y-coordinates you get -6. This will help you visualize how far apart they really are. Keep in mind that if the coordinates have different signs, it means they're on the opposite sides of the axis. ![]() Make sure to remember that subtracting is the same thing as adding the opposite. ![]()
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