(D) To find the linear equation,we check which equation is satisfied by all the given points: $(-2, 2), (0, 0),$ and $(2, -2)$.For option $D$,$x + y =

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(D) To find the linear equation,we check which equation is satisfied by all the given points: $(-2, 2), (0, 0),$ and $(2, -2)$.For option $D$,$x + y = 0$:$1$. For $(-2, 2): -2 + 2 = 0$. (Satisfied)$2$. For $(0, 0): 0 + 0 = 0$. (Satisfied)$3$. For $(2, -2): 2 + (-2) = 0$. (Satisfied)Since all points satisfy the equation $x + y = 0$,this is the correct linear equation.

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

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

A
$y - x = 0$
B
$x - 2y = 0$
C
$-2x + y = 0$
D
$x + y = 0$

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Linear Equations in Two Variables

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Mix Examples - Linear Equations in Two Variables

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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Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

Easy

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Find the points where the graph of the equation $3x + 4y = 12$ cuts the $x$-axis and the $y$-axis.

Easy

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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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If the point $(2, 3)$ lies on the graph of the equation $3x + ay = 18$,find the value of $a$.

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

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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 $x=5$?

Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

Find the points where the graph of the equation $3x + 4y = 12$ cuts the $x$-axis and the $y$-axis.

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

If the point $(2, 3)$ lies on the graph of the equation $3x + ay = 18$,find the value of $a$.

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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:
$2y - 3x = 14$