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Using the graphical method, what is the point of intersection of the lines \\(4x-5y=20\\) and \\(x=0\\)?

Answer and explanation

Correct answer: Point \\(0,-4\\)

On the line \\(x=0\\), the x-coordinate of the intersection point must be 0. Substituting \\(x=0\\) in \\(4x-5y=20\\) gives \\(4(0)-5y=20\\), so \\(-5y=20\\) and \\(y=-4\\). Hence, the intersection point is \\((0,-4)\\). Option A has the wrong sign for \\(y\\). Exam tip: the line \\(x=0\\) is the y-axis, so substitute \\(x=0\\) directly into the other equation.

Related tags

Graphical MethodLine IntersectionY AxisY InterceptPair Of Linear EquationsGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two Variables

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