Question

Which equation could be used to create the data shown in the table?

y = 4x + 1
y = 5x
y = 5x + 1
y = x + 4

table

x y
1 5
4 17
5 21
7 29
9 37

Answer 1

equation could be used to create the data shown in the table is the first equation y = 4x + 1

Answer 2

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

   $=\frac{17-5}{4-1}=\frac{21-17}{5-4}\\\\=\frac{29-21}{7-5}=\frac{37-29}{9-7}=4$

Slope between two points is same.So, the following points represents straight lie.

Equation of line is given by

    $\rightarrow y-y_{1}=m(x-x_{1})\\\\\rightarrow y-5=4 (x-1)\\\\y-5=4 x-4\\\\4 x-y+5-4=0\\\\4x-y+1=0\\\\y=4 x+1$

Option A: y=4 x+1