Multiple choice

Solve the following pairs of equations, graphically: $x = 0$ and $x + 3y = 6$

  1. $(0,2)$
  2. $(2,0)$
  3. $(0,-2)$
  4. $(-2,0)$
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A Correct answer
Explanation

Substitute x = 0 into the second equation: 0 + 3y = 6, which simplifies to 3y = 6, so y = 2. The intersection point is (0, 2).

AI explanation

To find the point of intersection graphically, substitute the value x = 0 into the second equation, x + 3y = 6. This gives 0 + 3y = 6. Solving for y yields y = 2. The point where the two lines intersect is (0, 2).

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