In order to find the value of m, if it is known that the graph of the linear function y = -4x + m passes through a point with coordinates K (2; -10), we will proceed as follows.
Substitute the coordinates of point K into the equation.
That is, x = 2 and y = -10 and solve the resulting linear equation with respect to the variable m.
So, we get the equation:
-10 = -4 * 2 + m;
-10 = -8 + m;
Move -10 to the right side of the equation and m to the left.
-m = -8 + 10;
-m = 2;
we divide by -1 both sides of the equality:
m = 2: (-1);
m = -2.
Answer: for m = -2.
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