In the plane rectangular coordinate system xoy, it is known that the line y = - x + 4 intersects with the X axis at point a, there is a point m on the line, and the area of △ AOM is 8, so the coordinates of point m can be obtained | Math enthusiast | Mathematical art

In the plane rectangular coordinate system xoy, it is known that the line y = - x + 4 intersects with the X axis at point a, there is a point m on the line, and the area of △ AOM is 8, so the coordinates of point m can be obtained

When the ∵ line y = - x + 4 intersects with the X axis at point a and ∵ y = 0, - x + 4 = 0, the solution is x = 4 and the coordinates of ∵ a point are (4, 0). Let the coordinates of m point be (4-y, y), the area of ∵ AOM be 8 and ∵ 12 × 4 × | y | = 8, the solution is y = ± 4 and the coordinates of ∵ m point are (0, 4) or (8, - 4)

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