Answer:
[tex]y=4x-1[/tex]
Step-by-step explanation:
x y
1 3
2 7
3 11
The given table is a linear because the difference in y values is a constant
[tex]7-3=4[/tex]
[tex]11-7=4[/tex]
constant value is the slope that is m=4
Linear equation is in the form of [tex]y=mx+b[/tex]
we know slope m is 4
Now we find out b using the value of x and y given in the table
Plug in x=1, y=3 and m= 4
[tex]y=mx+b[/tex]
[tex]3=4(1)+b[/tex]
[tex]3=4+b[/tex], subtract 4 from both sides
[tex]b=-1[/tex]
So the equation that represents the table is
[tex]y=4x-1[/tex]
