Without performing construction, find the coordinates of the points of intersection of the graph

Without performing construction, find the coordinates of the points of intersection of the graph of the function y = -4 + 2 with the coordinate axes.

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 = -4x + 2.

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.

-4x + 2 = 0;

-4x = -2;

x = -2: (-4);

x = 0.5.

The intersection point of the OX axis has coordinates (0.5; 0).

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

y = -4 * 0 + 2;

y = 0 + 2;

y = 2.

The intersection point with OY has coordinates (0; 2).