Question

*15 points*

I need a proper explanation please.

Answer 1

To find our solution, we first write the equation in the following form:

`y = ax + b`

In this formula a represents the slope, therefore:

`y = - (1)/(5) x + b`

Because the line passes through the point P(5, -7), we can fill in the coordinates of this point in the formula and we get the following:

`- 7 = -(1)/(5) * 5 + b`

`- 7 = -1 + b`
Now, add up 1 to both sides and we get

`b = -6`
So the formula will be:

`y = - (1)/(5) x - 6`

Bringing x to the other sides gives us:

`(1)/(5) x + y = -6`
Finally we multiply by 5 to get our standard form (and therefore our final answer):

`x + 5y = -30`
Hence, the answer is D.