Answer:
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
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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.