Consider that a general form of the equation of a line is given by:
y - yo = m(x - xo)
where m is the slope of the line.
In order to calculate the slope use the following formula:
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are any pair of values of the table. Replace two pair of values for x and y from the given table into the formula for m:
m = (-5-(-9))/(-1-(-2))
m = (4)/(1)
m = 4
Next, replace a pair of values x and y from the table for xo and yo in the general formula, and then solve for y:
y - (-5) = 4(x - (-1))
y + 5 = 4(x + 1)
y + 5 = 4x + 4
y = 4x + 4 - 5
y = 4x - 1
Hence, the equation of the line that represents the values of the table is
y = 4x - 1
