Question

Can someone please help
With this math question please

Answer 1

We know that one of the point of our line is (5,-1). Since our second point has the same y-intercept as
`x-3y=6`, we are going to solve for x in that line to identify the y-intercept:

`x-3y=6`

`-3y=6-x`

`y= (6-x)/(-3)`

`y= (1)/(3)x-2`
Remember that in a line of the form
`y=mx+b` the intercept is (0,b). From this we can infer that the second point of our line is (0,-2)

Now that we have our two point, we can use the slope formula:
`m= (y_(2)-y_(1))/(x_(2)-x_(1) )` to find the slope of our line:

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

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

`m= (-1)/(-5)`

`m= (1)/(5)`

We can conclude that the slope of our line is
`m= (1)/(5)`, so the correct answer is C.