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What is the correct pair of x-intercept and y-intercept of the line \\(9x-5y=45\\)?

Answer and explanation

Correct answer: \\( (5,0) \\) and \\( (0,-9) \\)

To find the x-intercept, put y=0: 9x=45, giving x=5 and the point \\( (5,0) \\). To find the y-intercept, put x=0: -5y=45, giving y=-9 and the point \\( (0,-9) \\). Therefore, option A is correct. Option C incorrectly treats 9 and 5 as the coordinates instead of calculating the intercepts. Exam tip: set y=0 for the x-intercept and x=0 for the y-intercept.

Related tags

Pair Of Linear EquationsGraphical MethodX-InterceptY-InterceptCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two Variables

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