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At which point does the line 2x + 3y = 12 intersect the line x = 0?

Answer and explanation

Correct answer: (0, 4)

On the line x = 0, the value of x is zero. Substituting x = 0 in the first equation gives 3y = 12, so y = 4. Therefore, the intersection point is (0, 4). The point (4, 0) is the x-intercept, obtained by setting y = 0. In exams, remember that x = 0 represents the y-axis, while y = 0 represents the x-axis.

Related tags

Axis IntersectionY AxisGraphical MethodLinear EquationsGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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