Question

Can someone help with this math question please

Answer 1

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:

$x-6=3y \\ \\ y= \frac{1}{3}x-2$

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

$Slope=m= \frac{-2+1}{0-5}= \frac{1}{5}$

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

$y= \frac{1}{5}x-2$

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