Find the coordinates of the points of intersection of the graph of the linear equation y = 3x-6 with the coordinate axes

To find the coordinates of the points of intersection of the graph of the function y = 3x – 6 (linear function) with the coordinate axes, we must solve two linear equations.

Let’s start by finding the OX intercept, where y = 0.

We substitute functions into the equation and solve the equation.

3x – 6 = 0;

3x = 6;

x = 6: 3;

x = 2.

The point of intersection with the OX axis has coordinates (2; 0).

Now let’s find the point of intersection with the OY axis, where x = 0;

y = 3 * 0 – 6 = -6;

So, the point of intersection with the OY axis has coordinates (0; -6).