Find the distance on the coordinate system from the point (-3,4)to the point (8,-7)find

Let's say point A is (-3,4) and point B is (8,-7).

The x-distance from A to B is -3 to 8. This is equivalent to the expression . So the x-distance is 11.

The y-distance from A to B is 4 to -7. This is equivalent to the expression . So the y-distance is 13. We take the absolute value because distance is always positive, and is never negative.

The x- and y-distances create a right triangle. So, we can apply the Pythagoren Theorem: , where and are the shorter sides, and is the longer side of the triangle.

the x- and y-distances are and . We want to find the value of c, since that is the distance between the two points. So, plugging the known values into the Pythagorean Theorem,

So, the distance between the two points is roughly 16.

2

step-by-step explanation:

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step-by-step explanation: