Find the slope of the tangent k, if the graph of the function y = kx passes through the point A (-2; -8).

Since the function y \ u003d kx passes through the point: A (-2; -8), then we can substitute the coordinates of this point in the equations of the graph of the function.

A (x; y) = A (-2; -8).

Substitute the straight line y = kx in the equation instead of x = -2; instead of y = -8 and we get the equation for finding the slope k.

– 8 = k × (- 2)

– 2k = -8

k = – 8: (- 2)

k = 4.

Answer: k = 4.



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