(A) point of the form $(a, -a)$ has an $x$-coordinate equal to $a$ and a $y$-coordinate equal to $-a$.To find the line on which this point lies,we can

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(A) point of the form $(a, -a)$ has an $x$-coordinate equal to $a$ and a $y$-coordinate equal to $-a$.To find the line on which this point lies,we can observe the relationship between the coordinates:$x = a$$y = -a$Adding these two equations gives:$x + y = a + (-a)$$x + y = 0$Therefore,the point $(a, -a)$ always satisfies the equation $x + y = 0$.

Class 9 Mathematics Linear Equations in Two Variables Solution of a Linear Equation

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The point of the form $(a, -a)$ always lies on the line

A
$x + y = 0$
B
$y = -a$
C
$x = a$
D
$y = x$

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Linear Equations in Two Variables

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Solution of a Linear Equation

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The point of the form $(a, -a)$ always lies on the line

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Write whether the following statement is True or False. Justify your answer:The point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$.

The graph of the linear equation $5x - 3y = 20$ intersects the $x$-axis at:

Write four solutions for the equation $3x - 24 = 0$.

If a linear equation has solutions $(-2, 2), (0, 0)$ and $(2, -2)$,then it is of the form

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $x - \frac{y}{5} - 10 = 0$.

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Write whether the following statement is True or False. Justify your answer:
The point $(0, 3)$ lies on the graph of the linear equation $3x + 4y = 12$.