Does the graph of the function y = -7x-3 pass through the point M (4; -25)?

In order to check whether the graph of the function y = f (x) passes through the point M with coordinates (x0; y0), it is necessary to check whether the equality y0 = f (x0) holds.

If this equality holds, then the graph of the function y = f (x) passes through the point M (x0; y0).

Check if the graph goes through the line y = -7x – 3 through the point M (4; -25).

To do this, we check if the equality is true:

-25 = -7 * 4 – 3.

Calculating the right side of this ratio, we get:

-25 = -28 – 3;

-25 = -31.

We got a contradictory equality, therefore, the graph of the straight line y = -7x – 3 does not pass through the point M (4; -25).

Answer: the graph of the straight line y = -7x – 3 does not pass through the point M (4; -25).