Find the coordinates of the points of intersection with the coordinate axes of the graph of the function y = 36x-18.

In order to find the coordinates of the points of intersection of the graph of the linear equation y = 36x – 18 with the coordinate axes, we will have to solve two linear equations.

In order to find the point of intersection with the OX axis, we must substitute y = 0 into the given equation of the straight line and solve the resulting equation of the system.

0 = 36x – 18;

We solve the resulting equation:

-36x = -18;

x = -18: (-36);

x = 0.5.

(0.5; 0).

We are looking for the point of intersection with the OY axis – x = 0.

y = 36 * 0 – 18;

y = 0-18;

y = -18.

(0; -18).

Answer: (0.5; 0) and (0; -18).