Question

Find the slope of line passing through the two points, (1, -4) and (5, -8).

Answer 1

m=-1

Explanation:

So our equation to find the slope is:

y₂-y₁

m= -------

x₂-x₁

(1,-4) is our first coordinate pair, which means that we will put them like this:

1=x₁

-4=y₁

(5,-8) is our second coordinate pair, which means that we will put them like this:

5=x₂

-8=y₂

We can substitute these numbers into the original equation:

-8-(-4)

m= ---------

5-1

Then we can simplify::

-8+4 -4

------- = ---- = -1

4 4

m=-1

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Answer 2

Answer: y= -1x+b, or -x+b

Explanation:

The slope is 1 because you have to plug in the formula, y2-y1/x2-x1. -8-(-4)/5-1. This is equal to -4/4, which is -1.