Question

Point U on a graph is located at (4,8), Point V on the same graph is located at (12, 14).

Which point lies on Line UV?

A. ( 7 , 12 )
B. ( 10 , 14 )
C. ( 16 , 22 )
D. ( 20 , 20 )

Answer 1

the answer is D hope this helps

Answer 2

D

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)

`y = mx + c`

`8 = (3)/(4) (4) + c`

`8 = 3 + c`

c is 5

the equation for UV is

`y = (3)/(4) x + 5`

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