The line in question goes through the origin (0, 0) and through the point (6, 14)
so we can calculate the slope of that line, using the equation for the slope of the segment that joinst twopoints (x1, y1) (x2 , y2):
slope = (y2-y1)/(x2-x1)
in our case:
slope = (14 - 0) / (6 - 0) = 14 / 6 = 7 / 3
SO we konw the expression of our line as:
y = 7/3 x + 0 = (7/3) x
Now, we need to find the missing value for a point on the line which has x-coordinate 2 (2, .?)
SO we evaluate the line expression to find "y" when x = 2:
y = (7/3) x
y= (7/3) 2 = 14/3
Then the value for the y coordinate must be 14/3.