What is the intercepts of the line that correspond to the following table of values

y-intercept = -27/2

x-intercept = -6

Step-by-step explanation:

First work out the equation of the line:-

Slope of the line = (y2 - y1) / (x2 - x1)

= (-27 - (-18) / (6 - 2)

=  -9/4

Using the point slope form:-

y - y1 = m(x - x1):-

y - (-18) = -9/4 ( x - 2)

y = -9/4 x + 18/4 - 18

y = -9/4x - 27/2 is the equation of the line.

y intercept ( when x = 0) =  -27/2

To find x intercept:-

-9/4 x - 27/2 = 0

x = 27/2 * - 4/9 = -6