The image of a linear function is parallel to the straight line y = - 5x + 4 and intersects with the image of the function y = 2 / X at the point m (- 2, m) 1) Finding the value of M 2) Find the analytic expression of this first-order function 3) If the image of a linear function intersects the y-axis at point B, the area of △ OBM is calculated | Math enthusiast | Mathematical art

The image of a linear function is parallel to the straight line y = - 5x + 4 and intersects with the image of the function y = 2 / X at the point m (- 2, m) 1) Finding the value of M 2) Find the analytic expression of this first-order function 3) If the image of a linear function intersects the y-axis at point B, the area of △ OBM is calculated

1) Finding the value of M
Because point m (- 2, m) is in the
The function y = 2 / x, so m = - 1,
2) Find the analytic expression of this first-order function
Since the image of a linear function is parallel to the straight line y = - 5x + 4, let the linear function be y = - 5x + K, and substitute the point (- 2, - 1) into it
K = - 11, so this function is y = - 5x-11
3) If the image of a linear function intersects the y-axis at point B, the area of △ OBM is calculated
Area of △ OBM = 11x1 / 2 = 5.5

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