Question

Draw the graph of the linear equation x - 2y = 3. From the graph , find the coordinates of the point when (i) x= 9 (ii) y = 5 At what points the graph of the linear equation cuts the x-axis and the y-axis.​

Answer 1

Answer:

x−2y=3

When x=0,y=−23

y=0,x=3

(i) When x=5,5−2y=3

⇒2y=2

⇒y=1

∴ The coordinate is (5,1).

(ii) When y=0,x−0=3

⇒x=3

∴ Coordinate is (3,0).

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Answer 2

Answer:

Given that, x-2y=3

when x is 9 [as per (i)]

9-2y=3

→-2y=3-9

→y=-6/-2

→y=3

Then, when x is 9, y will be 3.

Now when y is 5 [as per (ii)]

x-2×5=3

→x=3+10

→x=13

Then, when y is 5, x will be 13.

From the above we get two coordinates,

(9,3) and (13,5).

The graph will be constructed by these two points as it's in the attachment.

Hope it helps you...

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