To find the slope use the Rise over Run rule
It rises 2 units and runs 1 unit, so your slope is
2 or 2/1
To find the y-intercept just find where the line crosses the y-axis
it crosses at the -4 mark
Your slope is 2 and y-intercept is -4
<h3>
Answer: B. Graph is nearly symmetrical</h3>
Explanation:
Given information:
- A number line going from 2 to 11.
- 0 dots are above 2.
- 0 dots are above 3.
- 1 dot is above 4.
- 2 dots are above 5.
- 4 dots are above 6.
- 4 dots are above 7.
- 3 dots are above 8.
- 2 dots are above 9.
- 2 dots are above 10.
- 0 dots are above 11.
From that we can see the data set is {4,5,5,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10} which produces the dot plot you see in the image attachment below.
It's a bit tricky to see, but the graph is nearly symmetrical. If we were to remove the blue points in the dot plot I provided, then we'll get a perfectly symmetrical distribution. Symmetrical means one half is a mirror copy of the the other half. The center line of a symmetrical distribution is both the mean and median.
A perfect square must be hidden within all of those radicands in order to simplify them down to what the answer is.

.

.

. The rules for adding radicals is that the index has to be the same (all of our indexes are 2 since we have square roots), and the radicands have to be the same. In other words, we cannot add the square root of 4 to the square root of 5. They either both have to be 4 or they both have to be 5. So here's what we have thus far:

. We can add

and

to get

. That means as far as our answer goes, A = 72 and B = 4, or (72, 4), choice a.