Find the value of m if you know that the graph of the function y = -4x + b passes through the point k (2; -10)

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.