Question

Find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. . y = 0.5x+12 .

Answer 1

The values of x and y are 4 and 21

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 =(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

Answer 2

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)