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.
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