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At which point do the lines 4x + y = 20 and y = 0 intersect on the graph?

Answer and explanation

Correct answer: (5, 0)

The line y = 0 represents the x-axis. To find the intersection, substitute y = 0 in 4x + y = 20: 4x = 20, so x = 5. Therefore, the intersection point is (5, 0). In (0, 5), the coordinates are interchanged, while (4, 0) does not satisfy the equation. Exam tip: y = 0 represents the x-axis, whereas x = 0 represents the y-axis.

Related tags

Graphical MethodX Axis IntersectionLinear EquationsCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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