Kindly help me with the following sum regarding 
linear relation and explain please:
Find the missing y coordinate values in the 
following table:

 x |  y
-2 | -6
-1 |  ?
 0 |  ?
 1 | 18

First we find the equation of the line that goes through
the two point for which we are given both coordinates, 
that is, the points  and 




We first find the slope using the slope formula:

 









Then we use the point-slope formula for the equation
of a line:











Now we find the missing points in the chart:

 x |  y
-2 | -6
-1 |  ?
 0 |  ?
 1 | 18

by substituting -1 for x,






and by substituting 0 for x






So we fill in the missing
values for y:

 x |  y
-2 | -6
-1 |  2
 0 | 10
 1 | 18

And as we see the points
(-1,2) and (0,10) lie right on the same line as two
points (-2,-6) and (1,18).

 

Edwin