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 .

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)

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OrethaWilkison OrethaWilkison · Answer 2 · 2018-11-01T13:46:08+01:00

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:

[tex]14 = 0.5x+12[/tex] and [tex]y = 0.5(18)+12[/tex]

now;

14 = 0.5x+ 12

⇒ 0.5x= 14-12 =2 or

[tex]x =\frac{2}{0.5} = 4[/tex]

Therefore, the point (4, 14)

Now, solve for y:

[tex]y =(0.5)\cdot 18+12[/tex] or

[tex]y= 9+12[/tex] = 21

⇒ the point (18, 21)

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