Question

Look at the table of values below.

Answer 1

Y = 4x - 1

4(1) - 1 = 3
4(2) - 1 = 7
4(3) - 1 = 11

Answer 2

Answer:

$y=4x-1$

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

$7-3=4$

$11-7=4$

constant value is the slope that is m=4

Linear equation is in the form of $y=mx+b$

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

$y=mx+b$

$3=4(1)+b$

$3=4+b$, subtract 4 from both sides

$b=-1$

So the equation that represents the table is

$y=4x-1$