Without constructing, find the coordinates of the intersection points of the graph of the function y = -x + 4.

You need to find the coordinates of the points of intersection of the graph of the function with the coordinate axes, the function is given by the following equation y = -x + 4.

In order to find the point of intersection of the graph of the function with the OX axis, we substitute y = 0 into the given equation (the condition for the intersection of the graph of the function with the OX axis) and find the corresponding value of x.

-x + 4 = 0;

-x = -4;

x = -4: (-1);

x = 4.

The intersection point of the OX axis has coordinates (4; 0).

Intersection point of the OY axis (x = 0).

y = -1 * 0 + 4;

y = 0 + 4;

y = 4.

The intersection point with OY has coordinates (0; 4).