Can someone with this math question

One point of the line is given to be (5, -1) and second point is the y-intercept of the line x - 3y = 6

We can write this equation as:



So, the y-intercept of the line is -2. 

Now we have two points for the new line (5, -1) and (0, -2). Using these we can find the slope



Using the slope and the point (0, -2) we can write the equation in slope intercept form as:



Thus the answer to this question is option C. Slope for the new line is 1/5 and the y-intercept is -2