We need to find the line equation. From the given picture, we can choose 2 points along the line, for instance,

The slope of the line is given by

which gives

So, the line equation has the form

We can find the y-intercept b by substituting the point (0,-6) into the last result, that is,

Then, the line equation is

Now, by multiplying both sides by 4, we get

By subtracting 6x to both sides, we have

and by multiplying both sides by -1, we obtain

By comparing with the given options, the answer is the second option on the left hand side: 6x - 4y = 24