Can you help me?

Step-by-step explanation:

I don't do this question the way it is outlined. My way is a bit shorter.

The general equation is y = mx + b

You want the slope to be - 1/5 which you just read from the given equation.

So, so far you have y = -1/5x + b

Now for the point which is (5,-4)

x = 5

y = - 4

-4 = -1/5 * 5 + b

-4 = -1 + b

b = -4 + 1

b = - 3

the equation is y = -1/5 x - 3

Now let's do it your way.

y - y1 = m(x - x1)

x1 = 5

y1 = - 4

m = - 1/5

y - - 4 = -1/5(x - 5

y + 4 = -1/5x + 1        Take 4 from both sides

y = -1/5 x + 1 - 4

y = -1/5 x - 3

Same answer. I never knew that was possible.