Question

PLEASE PLEASE PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINY, AND FRIEND.

State the distance formula, slope formula, ​and midpoint formula. Using a set of coordinates you create to show how to use each.

Answer 1

distance formula

The distance formula is really just the Pythagorean Theorem in disguise. To calculate the distance AB between point A(x1,y1) and B(x2,y2) , first draw a right triangle which has the segment ¯AB as its hypotenuse. Since AC is a horizontal distance, it is just the difference between the x -coordinates: (x2−x1)

slope formula

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation.

midpoint formula

The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.

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Answer 2

The distance formula is d=√(x2 - x1)² + (y2 - y1)² and it's similar to the pythagorean theorem; finding the ditance between one point and another. The slope formula is y2 - y1 / x2 - x1 or rise/run. It also finds the distance between two points but slope measures whether the line is increasing or decreasing, and by what rate. The midpoint formula is (x1 + x2 /2 , y1 + y2 / 2) which is a set of coordinates. It finds the middle or midpoint of the line connecting two points.

Hope this helps!