Question

What is the slope of line A help ASAP

Answer 1

Hello!

The slope is $\frac{rise}{run}$. One way we could do this is find two points on the line and form a right triangle to connect the two. We then divide the rise of this triangle by the run.

We can see the points (-3,-2) and (0,-1). As you can see, our rise is 1, and the run is 3. If we divide our rise by run, we get the slope of 1/3.
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The work we did above can be represented in the following formula.

$\frac{ y_{2} - y_{1} }{ x_{2}- x_{1} }$

The ones and twos just represent a certain ordered pair. We will have (0,-1) be ($x_{1} , y_{1}$) and  (-3,-2) be ($x_{2} , y_{2}$). Now we plug our numbers into the formula. Note that the ones and twos can be swapped and the slope will be the same.

$\frac{-2+1}{-3-0} = \frac{-1}{-3} = \frac{1}{3}$

This proves that our slope is 1/3.

I hope this helps!

Answer 2

The slope of line A is m= 1/3