Question

найдите значение коэффициента k, если известно, что график функции у=к/х проходит через точку с координатами А(1;-4)​

Answer 1

$\displaystyle \boxed{y= \frac{k}{x}} \\\\A(1;\:-4)\\\\x=1\\\\y=-4\\\\-4=\frac{k}{1} \\\\k=-4*1=\boxed{\bf -4}$

Answer 2

Finding the Value of the Coefficient k

To find the value of the coefficient k in the equation y = k/x, given that the graph passes through the point A(1, -4), we can substitute the coordinates of the point into the equation and solve for k.

Substituting x = 1 and y = -4 into the equation y = k/x, we get:

-4 = k/1

Simplifying the equation, we have:

-4 = k

Therefore, the value of the coefficient k is -4.

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