Question

1.
Draw the graph of each of the following linear equations
1)x+ 2y = 3
​

Answer 1

Answer:

so ez

Step-by-step explanation:

Answer 2

Working Rule :

★ A linear equation in two variables represent a straight line in a plane .

★ To draw the graph of any straight line ,

→ Find two or three points satisfying the given equation (points lying on the straight line ) .

→ Represent those points on the graph paper (grid paper) .

→Join those points using a scale to get the straight line graph .

Solution :

Here ,

The given linear equation is ;

x + 2y = 3 .

★ If y = 0 , then

=> x + 2y = 3

=> x + 2×0 = 3

=> x + 0 = 3

=> x = 3

Hence , the point is (3,0) .

★ If y = 1 , then

=> x + 2y = 3

=> x + 2×1 = 3

=> x + 2 = 3

=> x = 3 - 2

=> x = 1

Hence , the point is (1,1) .

★ If x = -1 , then

=> x + 2y = 3

=> -1 + 2y = 3

=> 2y = 3 + 1

=> 2y = 4

=> y = 4/2

=> y = 2

Hence , the point is (-1,2) .

→ Represent these points (3,0) , (1,1) , (-1,2) on graph paper .

→ Join these points to get the graph of given linear equation .

(For graph , please refer to the attachment ) .