Writing a linear equation given a table

are you asking how to write a linear equation when you're only given the table of values? if so, always remember to check the values of x when y is 0 and vice versa(if given, sometimes not both are given).

the table always guides how to include your values.

eg, in y=2x+5, start with when x=0 and if not given limits write the closest values to 0 can be from -2 to 2 then you get values of y that will always be dependent on x values and increase or decrease with respect to x.