Write whether following statements are True or False? Justify your answers: graph given below repres

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4. Linear Equations in Two Variables

easy

Write whether the following statements are True or False? Justify your answers:

The graph given below represents the linear equation $x + y =0$.

Option A

Option B

Option C

Option D

Solution

The given equation is $x+y=0,$ i.e., $y=-x.$

Any point on the graph of $y =- x$, will have $x$ and $y$ coordinates of opposite signs.

As the points $(-1,1)$ and $(-3,3)$ have $x$ and $y$ coordinates of opposite signs, so these points satisfy the given equation and the two points determine a unique line, hence the given statement is true.

Standard 9

Mathematics

If $(4,3)$ is a solution of equation $3 x-4 y=k,$ then find the value of $k$

easy

Expressing $5 x+2 y=10$ in the $y$ -form, we get…….

easy

Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$3 x+4 y=24$

easy

Draw the graph of the equation represented by the straight line which is parallel to the $x$ -axis and is $4$ units above it.

easy

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$5 x+3 y=45$

easy

Write whether the following statements are True or False? Justify your answers: The graph given below represents the linear equation $x + y =0$.

Solution

Similar Questions

If $(4,3)$ is a solution of equation $3 x-4 y=k,$ then find the value of $k$

Expressing $5 x+2 y=10$ in the $y$ -form, we get…….

Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case $3 x+4 y=24$

Draw the graph of the equation represented by the straight line which is parallel to the $x$ -axis and is $4$ units above it.

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case $5 x+3 y=45$

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Write whether the following statements are True or False? Justify your answers:

The graph given below represents the linear equation $x + y =0$.

Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$3 x+4 y=24$

Express the following linear equation in the form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$5 x+3 y=45$