The equation of the table is y = [tex]\frac{1}{7}[/tex] x
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The table:
→ (x) : 0 : 7 : 14 : 21
→ (y) : 0 : 1 : 2 : 3
The table represents the linear relation because the difference between consecutive x-coordinates is constant and the difference between consecutive y-coordinates is constant
To make the equation of the line you must find the slope m
Chose any two points from the table to find the slope m
The two points are (7 , 1) and (14 , 2)
∵ [tex]x_{1}[/tex] = 7 and [tex]y_{1}[/tex] = 1
∵ [tex]x_{2}[/tex] = 14 and [tex]y_{2}[/tex] = 2
∴ [tex]m=\frac{2-1}{14-7}=\frac{1}{7}[/tex]
∴ [tex]m=\frac{1}{7}[/tex]
Substitute the value of m is the form of the equation
∵ y = m x + b
∴ y = [tex]\frac{1}{7}[/tex] x + b
- b is the value of y when x = 0
∵ From the table when x = 0 , y = 0
∴ b = 0
∴ The equation of the line is y = [tex]\frac{1}{7}[/tex] x
The equation of the table is y = [tex]\frac{1}{7}[/tex] x
Learn more:
You can learn more about the linear equation in brainly.com/question/4152194
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