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A and B are points on a centimetre grid. A is the point with coordinates (−7, 6) B is the point with coordinates (8, −5) Work out the length of AB. Give your answer correct to 1 decimal place.
Two points, A and B, are located on a centimetre grid. Point A has coordinates (-7, 6) while point B has coordinates (8, -5). To determine the length of line segment AB, we need to calculate the distance between these two points on the grid.
The formula to find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane is given by the distance formula: √((x2 – x1)^2 + (y2 – y1)^2). Substituting the coordinates of points A and B into this formula, we get √((8 – (-7))^2 + (-5 – 6)^2).
Simplifying the expression, we get √(15^2 + (-11)^2) = √(225 + 121) = √346 ≈ 18.6. Therefore, the length of line segment AB is approximately 18.6 units when rounded to one decimal place.
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