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= (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= (-2+1)/(0-5)= (1)/(5)`

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


`y= (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