(C) The general form of a linear equation in two variables is $ax + by + c = 0$.If $c = 0$,the equation becomes $ax + by = 0$.For any linear equation

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(C) The general form of a linear equation in two variables is $ax + by + c = 0$.If $c = 0$,the equation becomes $ax + by = 0$.For any linear equation of the form $ax + by = 0$,if we substitute $x = 0$ and $y = 0$,we get $a(0) + b(0) = 0$,which is $0 = 0$.Since the point $(0, 0)$ satisfies the equation,the line must pass through the origin $(0, 0)$.

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

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

A
x-axis
B
y-axis
C
origin
D
none of these

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Linear Equations in Two Variables

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Mix Examples - Linear Equations in Two Variables

If the point $(-2, 5)$ lies on the graph of the equation $ax + 3y = 7$,find the value of $a$.

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The graph of the linear equation $2x + 3y = 6$ is a line which meets the $x$-axis at the point

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Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$2y - 3x = 14$

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Which of the following is an equation of a line that passes through points $(-2, 0)$ and $(0, 3)$?

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If $(3, 2)$ is one of the solutions of $5x - ay = 7$,then $a = \dots$

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

Similar Questions

If the point $(-2, 5)$ lies on the graph of the equation $ax + 3y = 7$,find the value of $a$.

The graph of the linear equation $2x + 3y = 6$ is a line which meets the $x$-axis at the point

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:$2y - 3x = 14$

Which of the following is an equation of a line that passes through points $(-2, 0)$ and $(0, 3)$?

If $(3, 2)$ is one of the solutions of $5x - ay = 7$,then $a = \dots$

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Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$2y - 3x = 14$