Piqosity - Adaptive Practice Tests for the ISEE, ACT, and SAT.

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The line graphs generated by linear equations are not limited to the portion of the graph shown, but instead continue on infinitely in either direction. Essentially, you are working with a segment of the line graph and a few of the points it contains. We can further analyze the measurements of these line segments by using the midpoint formula and the distance formula: The midpoint formula measures the midpoint between two xy-coordinates. The distance formula measures the distance between two xy-coordinates. Note, do not confuse the distance formula with the formula for distance in distance, rate, and time measurements. Using the Midpoint Formula Here is the formula used to calculate the midpoint between two coordinates: It does not matter which point you designate as point 1 and point 2. Here is an example: Using the Distance Formula Here is the formula used to calculate the distance between two coordinates: Once again, it does not matter which point you designate as point 1 and point 2! Here is an example of the distance formula: The distance formula is derived from the Pythagorean Theorem, a2 + b2 = c2. As we can see, the length of the hypotenuse c is equal to the square root of a squared plus b squared. In other words, the distance between the endpoints of side c is equal to that as well. Thus, the distance between two points can be calculated in this same way. Midpoint and Distancde Practice Problems Answers to Practice Problems Midpoint = (0, 19). Distance = 10. Midpoint = (3, 6.5). Distance = √13. Midpoint = (7, 4). Distance = 5. Midpoint = (14.5, 150). Distance = 13. A A C D	Show	Edit	Destroy

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