The general slope-intercept form equation is:
![\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20%5Ctext%7BWher%20m%20is%20the%20slope%20and%20b%20is%20the%20y-intercept%20value%7D%20%5Cend%7Bgathered%7D)
In this case, m=-2 and with the point (4, 10) we can find the value of b:
![\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20We%5Ctext%7B%20evalute%20the%20equation%20in%20the%20point%20%28x%2C%20y%29%20%3D%20%284%20%2C%2010%29%3A%7D%20%5C%5C%2010%3D-2%5Ccdot4%2Bb%20%5C%5C%2010%3D-8%2Bb%20%5C%5C%20b%3D10%2B8%3D18%20%5Cend%7Bgathered%7D)
We found that b = 18, so:
The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>
We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of ![\sqrt{9}= 3](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%203)
The formular for this is
∑![\frac{1}{n^p} \\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bn%5Ep%7D%20%5C%5C)
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
brainly.com/question/337693
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Answer:
blank 1: toby
blank 2: 4
Step-by-step explanation:
if im right i dont want ur money
Do 25 divided by 1/2 to get your answer. Thanks! Brainly Team