Verified Answer :

we just simply substitute the values of the points given so as to obtain the missing coordinates

@ (x, 14)

y = 0.5x +12 
14 = 0.5x +12
x = 4

therefore the point is at (4, 14)

@ (18, y)

y = 0.5x + 12
y = 0.5*(18) +12 
y = 21

therefore the point is at (18, 21)

Answer:

The values of x and y are 4 and 21

Step-by-step explanation:

Given: The coordinate points (x, 14) and (18, y) are on the graph y = 0.5 x+12.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis, and y is the number on the y-axis. The numbers x and y in the ordered pair (x, y) are called coordinates.

we will substitute the points (x, 14) and (18,y)  on the graph y =0.5 x+12 to solve for x and y, then we have:

\(14 = 0.5x+12\)    and  \(y = 0.5(18)+12\)

now;

14 = 0.5x+ 12

⇒ 0.5x= 14-12 =2 or

\(x =\frac{2}{0.5} = 4\)

Therefore, the point (4, 14)

Now, solve for y:

\(y =(0.5)\cdot 18+12\) or

\(y= 9+12\) = 21

⇒ the point (18, 21)

Therefore, the values of x and y are 4 and 21