Answer:
D
Step-by-step explanation:
gradient is change in y/change in x
gradient of UV = 14-8/12+4=3/4
use equation y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use one of the coordinates of U or V, I'll use (4,8)
[tex]y = mx + c[/tex]
[tex]8 = \frac{3}{4} (4) + c[/tex]
[tex] 8 = 3 + c[/tex]
c is 5
the equation for UV is
[tex]y = \frac{3}{4} x + 5[/tex]
insert each X coordinate given in the question to see if it gives the same y coordinate
when x is 20, y is also 20 so the answer is D
