Which equation could be used to create the data shown in the table?
2 answers:
<span> equation could be used to create the data shown in the table is the first equation y = 4x + 1</span>
Answer with explanation:
The table is
x y
1 5
4 17
5 21
7 29
9 37
→→Ratio of Difference between y value and x value or slope which is equivalent to back statement is
![=\frac{17-5}{4-1}=\frac{21-17}{5-4}\\\\=\frac{29-21}{7-5}=\frac{37-29}{9-7}=4](https://tex.z-dn.net/?f=%3D%5Cfrac%7B17-5%7D%7B4-1%7D%3D%5Cfrac%7B21-17%7D%7B5-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B29-21%7D%7B7-5%7D%3D%5Cfrac%7B37-29%7D%7B9-7%7D%3D4)
Slope between two points is same.So, the following points represents straight lie.
Equation of line is given by
![\rightarrow y-y_{1}=m(x-x_{1})\\\\\rightarrow y-5=4 (x-1)\\\\y-5=4 x-4\\\\4 x-y+5-4=0\\\\4x-y+1=0\\\\y=4 x+1](https://tex.z-dn.net/?f=%5Crightarrow%20y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29%5C%5C%5C%5C%5Crightarrow%20y-5%3D4%20%28x-1%29%5C%5C%5C%5Cy-5%3D4%20x-4%5C%5C%5C%5C4%20x-y%2B5-4%3D0%5C%5C%5C%5C4x-y%2B1%3D0%5C%5C%5C%5Cy%3D4%20x%2B1)
Option A: y=4 x+1
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