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The line 3y 6x 48 passes through the points A -... - JAMB Mathematics 2023 Question

 

The line \(3y + 6x\) = 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.

A

16

B

20

C

8

D

-2

correct option: b

To find the value of \(k\), substitute the coordinates of point A(-2, \(k\)) into the equation \(3y + 6x = 48\):

\[3k + 6(-2) = 48\]

Simplify the equation:

\[3k - 12 = 48\]

Add 12 to both sides:

\[3k = 60\]

Divide both sides by 3:

\[k = 20\]

 

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