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Write the linear equation such that each...

Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.

Text Solution

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Let the abscissa of the point be x,
According to the question, Ordinate `(y)=3xx " Abscissa" implies y=3x`
When x=1, then `y=3xx1=3` and when x=2, then `y=3xx2=6`

Here, we find two points A (1, 3) and B (2, 6). So, draw the graph by plotting the points and joining the line AB.

Hence, y=3x is the required equation such that each point on its graph has an ordinate 3 times its abscissa.
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Knowledge Check

  • The linear equation such that each point on its graph as an ordinate fou times its abscissa is :

    A
    `y + 4 x = 0 `
    B
    ` y = 4 x`
    C
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    D
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    C
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    D
    `(1,3)`

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