You are given a coordinate system xOy. Find the distance between points: A (-4; 3) and B (5; -4).

To answer the question posed, we will use the general rules and formulas available in mathematical science, which determine the order of determining the coordinates of points located in the coordinate system. For the case under consideration, it is necessary to use the formula for determining the distance between points, the coordinates of which are known values. With this in mind, for the original task, we get:

1) d = √ ((x2 – x1) ^ 2 + (y2 – y1) ^ 2).

2) d = √ ((5 – (-4) ^ 2) + (-4-3) ^ 2) = √ (81 + 49) = √130.

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