# The graph of the function y = kx passes through point A (10; -5)

**The graph of the function y = kx passes through point A (10; -5). Does the graph of this function pass through the point K (-8; -4); M (0.2; -0.1)?**

In order to find out whether the graph of a given function passes through the indicated points, it is necessary to find out the numerical coefficient k. To do this, we substitute the coordinates of point A (10; -5) into the equation of the graph:

-5 = k * 10;

k = -5: 10 = -1/2.

We find out if the graph of the function y = -1/2 x passes through the indicated points:

1) K (-8; -4):

-4 = -1/2 * (-8);

-4 = 4 – incorrect expression, so point K does not belong to this graph.

2) M (0.2; -0.1):

-0.1 = -1/2 * 0.2;

-0.1 = -0.1, correct expression, so point M belongs to the graph of the function.

Answer: the graph of the function passes through point M and does not pass through point K.