Question

Emma and Lara, two students of Class IX of a school, together contributed Rs 100 towards the old age home.
i) Write a linear equation which the given data will satisfy and also plot its graph.
ii) Also give the points of intersection of the line with the x and y axes.

Answer 1

$\rm\bf\underline{Solution:}$

Method to draw the graph of linear equation in

two variables:

 

1.Let the linear equation in two variables be ax+by+c=0

Write the linear equation and Express Y in terms

of x.

Y=(-ax+c)/b (1)

 2.Put put arbitrary value of x in equation 1 and

find the corresponding values of y.

3.Form a table by writing the value’s of y to the

corresponding values of x.

 

4.Draw the coordinates axes on graph paper and take

a suitable scale to plot points from the table on graph paper.

5.Join the points and we get a straight line and

produced it on both sides.

 

Hence, the straight line so obtained is the

required graph of given linear equation.

 

It is enough to plot two points Corresponding to

two solutions and join them by a line.

 -----------------------------------------------------------------------------------------------------

Solution:

 

[Table and graph are on the attachment]

 

Let the contributions of Yamini and Fatima

together towards the Prime Minister relief fund to help the earthquake victims

are ₹X and ₹Y.

A.T.Q

X+y=100 (1)

Here,We plot the points B(0,100) & A(100,0)

on  graph paper and join all these points

to form a line AB.

Answer 2

$\large \tt \orange {answer}$

Method to draw the graph of linear equation in

two variables:

1.Let the linear equation in two variables be ax+by+c=0

Write the linear equation and Express Y in terms

of x.

Y=(-ax+c)/b (1)

2.Put put arbitrary value of x in equation 1 and

find the corresponding values of y.

3.Form a table by writing the value’s of y to the

corresponding values of x.

4.Draw the coordinates axes on graph paper and take

a suitable scale to plot points from the table on graph paper.

5.Join the points and we get a straight line and

produced it on both sides.

Hence, the straight line so obtained is the

required graph of given linear equation.

It is enough to plot two points Corresponding to

two solutions and join them by a line.

-----------------------------------------------------------------------------------------------------

Solution:

[Table and graph are on the attachment]

Let the contributions of Yamini and Fatima

together towards the Prime Minister relief fund to help the earthquake victims

are ₹X and ₹Y.

A.T.Q

X+y=100 (1)

Here,We plot the points B(0,100) & A(100,0)

on graph paper and join all these points

to form a line AB.