(18, 10) (6, -3) write the equation of the linear function represented by the table

To write the equation of the linear function represented by the table, we need to find the slope (m) and the y-intercept (b) of the line.

We can use the formula for slope (m) to find it:
m = (change in y) / (change in x)
m = (-3 - 10) / (6 - 18)
m = -13 / (-12)
m = 13/12

Next, we can use the slope-intercept form of a linear equation (y = mx + b) and substitute the values of one of the points (18, 10).

10 = (13/12)(18) + b

Now, we solve for b:

10 = (13/12)(18) + b
10 = (39/4) + b
10 - (39/4) = b
(40 - 39/4) / 4 = b
(160 - 39) / 4 = b
121 / 4 = b
b = 121/4

Therefore, the equation of the linear function represented by the table is:

y = (13/12)x + 121/4