16
20
8
-2
Correct answer is B
The line: 3y+6x = 48
Divide through by 3
⇒ y + 2x = 16
⇒ y = -2x + 16
∴ The gradient of the line = -2
The points: A(-2, k) and B (4, 8)
m =y2−y1x2−x1=8−k4−(−2)
⇒ m =\frac[8 - k}{4 + 2} = {8 - k}{6}
Since the line passes through the points
∴ -2 = 8−k6
⇒ \frac{-2}[1} = \frac{8 - k]{6}
⇒ 8 - k = -12
⇒ k = 8 + 12
∴ k = 20
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