Through which points does the graph of the equation 3x + 2y = 6 pass.

We transform the equation to the usual form:

3 * x + 2 * y = 6;

2 * y = 6 – 3 * x;

y = (6 – 3 * x) / 2;

y = 3 – 1.5 * x.

To determine through which points the equation passes, you should substitute the x values and calculate what value y takes – pairs x and y and will be the coordinates of the points.

Let x = 1, then:

y = 3 – 1.5 * 1 = 3 – 1.5 = 1.5.

Let x = 2, then:

y = 3 – 1.5 * 2 = 3 – 3 = 0.

Let x = 3, then:

y = 3 – 1.5 * 3 = 3 – 4.5 = – 1.5.