Find the coordinates of the points of intersection with the coordinate axes of the graph of the function y = 6-4x.

In order to find the coordinates of the points of intersection with the coordinate axes of the graph of the function given by the equation y = 6 – 4x, we will alternately substitute the values x = 0 and y = 0 and find the corresponding values of x and y.

So, to find the coordinates of the point of intersection with the OX axis, substitute y = 0 and solve the resulting equation:

6 – 4x = 0;

-4x = -6;

x = -6: (-4);

x = 3/2;

x = 1.5.

The point of intersection with the x-axis (1.5; 0).

To find the coordinates of the point of intersection with the OY axis, substitute x = 0 and find y.

y = 6 – 4 * 0 = 6 – 0 = 6.

Get point (0; 6)