One of the tables below contains (x, y) values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the table.

Set up a slope intercept form equation

(y2 - y) = m (x2 - x)

where "m" is your slope and "x" and "y" is your chosen coordinate values.

Table 3 shows linear function.

x - 2 - 4 - 6 - 8 - 10 - 12 - 14

y - 1 - 6 - 11 - 16 - 21 - 26 - 31

Figure out what your slope is by using the slope formula

m = (y2-y) / (x2-x)

then plug that slope into your slope intercept form and using any "x" and "y" value then simplify the equation and you'll get the linear function of that table.

m = (1-6) / (2-4)

m = - 5 / - 2

m = 5/2

y = mx + b

1 = (5/2) (2) + b

b = 5 - 1

b = 4

So the equation is

y = (5/2) x + 4