From the choices given below, choose the equation whose graphs are given below A B y = x y = x + 2 y + x = 0 y = x - 2 y = 2 x y = - x + 2 2 + 3 y = 7 x x + 2 y = 5

In the above graph, 0, 0 , 1 , - 1 , - 1 , 1 are points. In equation x + y = 0 , if x = 0 and y = 0 LHS = x + y = 0 + 0 = 0 = RHS If x = 1 and y = - 1 , LHS = x + y = 1 + - 1 = 0 = RHS If x = - 1 and y = 1 , LHS = x + y = - 1 + 1 = 0 = RHS Therefore, the line in the above graph represents the equation x + y = 0 . In the above graph, 2, 0 , 0, 2 , - 1, 3 are the points. In equation x + y = 2 , if x = 2 and y = 0 LHS = x + y = 2 + 0 = 2 = RHS If x = 0 and y = 2 , LHS = x + y = 0 + 2 = 2 = RHS If x = - 1 and y = 3 , LHS = x + y = - 1 + 3 = 2 = RHS Therefore, the line in the above graph represents the equation y = x - 2 .

E M B I B E

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 1

MEDIUM

9th Mizoram Board

IMPORTANT

Earn 100

Draw the graph of given linear equation in two variables:

$x + y = 4$

Important Questions on Linear Equations in Two Variables

MEDIUM

9th Mizoram Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 1

Draw the graph of given linear equation in two variables:

$x - y = 2$

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IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 1

Draw the graph of given linear equation in two variables:

$y = 3 x$

MEDIUM

9th Mizoram Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 1

Draw the graph of given linear equation in two variables:

$3 = 2 x + y$

MEDIUM

9th Mizoram Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 2

Give the equations of two lines passing through

(2, 14)

. How many more such lines are there, and why?

EASY

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IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 3

If the point

(3, 4)

lies on the graph of the equation

3 y = a x + 7

, find the value of

a

.

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IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 4

The taxi fare in the city is as follows: For the first kilometre, the fare is

₹ 8

and for the subsequent distance it is

₹ 5

per

k m

. Taking the distance covered as

x k m

and total fare as

₹ y

. Write a linear equation for this information and draw its graph.

MEDIUM

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IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 5

From the choices given below, choose the equation whose graphs are given below

$(A)$	$(B)$
$y = x$	$y = x + 2$
$y + x = 0$	$y = x - 2$
$y = 2 x$	$y = - x + 2$
$2 + 3 y = 7 x$	$x + 2 y = 5$

Question Image

HARD

9th Mizoram Board

IMPORTANT

MATHEMATICS Textbook for Class IX>Chapter 4 - Linear Equations in Two Variables>EXERCISE>Q 6

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as