Find the coordinates of the point of intersection of the graph of the equation 6x – 7y = 42 with the abscissa axis.

In order to find the coordinates of the point of intersection of the graph of the function 6x – 7y = 42 with the abscissa axis, we will start by defining the axis, the coordinates of the intersection with which we should search.

And this is the OX axis, for the intersection with it, the y coordinate value must be 0.

To calculate the x coordinate, we substitute the function y = 0 into the equation and solve the resulting equation for the variable x.

6x – 7 * 0 = 42;

6x = 42;

x = 42: 6;

x = 7.

The coordinates of the point of intersection with the abscissa axis (7; 0).

Answer: (7; 0).