(B) The given equation $y=6$ does not contain the variable $x$. This implies that for any value of $x$,the value of $y$ remains constant at $6$. There

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parallel to $x$-axis at a distance $6$ units from the origin

(B) The given equation $y=6$ does not contain the variable $x$. This implies that for any value of $x$,the value of $y$ remains constant at $6$. Therefore,the graph of $y=6$ is a horizontal line that is parallel to the $x$-axis. Since the $y$-coordinate is always $6$,the line is at a constant distance of $6$ units from the origin along the $y$-axis.

Class 9 Mathematics Linear Equations in Two Variables Mix Examples - Linear Equations in Two Variables

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The graph of $y=6$ is a line

A
parallel to $y$-axis at a distance $6$ units from the origin
B
parallel to $x$-axis at a distance $6$ units from the origin
C
making an intercept $6$ on the $x$-axis
D
making an intercept $6$ on both the axes

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Linear Equations in Two Variables

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Mix Examples - Linear Equations in Two Variables

Determine which of the given equations is represented by the graph shown in the figure below.

Medium

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Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case:
$0.2x + 0.5y = 1.2$

Easy

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If we multiply or divide both sides of a linear equation with a non-zero number,then the solution of the linear equation:

Easy

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For the equation $ax + by + c = 0$,if $c = 0$,then its graph is a line passing through the $\ldots \ldots \ldots$.

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Let $y$ vary directly as $x$. If $y=12$ when $x=4$,then write a linear equation. What is the value of $y$ when $x=5$?

Medium

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The graph of $y=6$ is a line

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Determine which of the given equations is represented by the graph shown in the figure below.

Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case:$0.2x + 0.5y = 1.2$

If we multiply or divide both sides of a linear equation with a non-zero number,then the solution of the linear equation:

For the equation $ax + by + c = 0$,if $c = 0$,then its graph is a line passing through the $\ldots \ldots \ldots$.

Let $y$ vary directly as $x$. If $y=12$ when $x=4$,then write a linear equation. What is the value of $y$ when $x=5$?

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Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case:
$0.2x + 0.5y = 1.2$