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

JAMB Mathematics 2023 50 views

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

  1. -2
  2. 20 ✓
  3. 8
  4. 16

Explanation

Step 1: Understand the problem
Point A(-2, k) lies on the line 3y + 6x = 48
This means the coordinates must satisfy the equation

Step 2: Substitute x and y values
x = -2, y = k
3y + 6x = 48
3k + 6(-2) = 48

Step 3: Simplify
3k – 12 = 48

Step 4: Solve for k
3k = 48 + 12
3k = 60
k = 20

Step 5: Verify with point B
Check B(4, 8): 3(8) + 6(4) = 24 + 24 = 48 ✓

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