# Draw the Graph of the Equation 2x + 3y = 12. from the Graph, Find the Coordinates of the Point: (I) Whose Y-coordinates is 3. (Ii) Whose X-coordinate is −3. - Mathematics

Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the
point: (i) whose y-coordinates is 3. (ii) whose x-coordinate is −3.

#### Solution

Graph of the equation 2x + 3y =12 :
We have,

 2x + 3y = 12

⇒  2x = 12 - 3y

⇒   x = (12 - 3y) /2

Putting   y = 2 , we get  x = (12 - 3 xx 2 )/2 = 3

Putting  y = - 4 , we get   x  ( 12  - 3 xx 4) / 2 = 0  Thus . ( 3, 0 ) and ( 0 ,4 ) are two points on the line 2x + 3y = 12

The graph of line represents by the equation  2x + 3y = 12

 x 0 3 y 4 2

Graph of the equation  2x + 3y = 12

(i) To find coordinates of the points when Y = 3 we draw a line parallel to x  - axis and
passing through  ( 0,3 ) this lines meets the graph of 2X + 3Y = 12 at a point p from which
we draw a line parallel to y - axis which process x - axis at X =3/2
, so the coordinates
of the required points are
(3/2 , 3) .

(ii) To find the coordinates of the points when (X = - 3 ) we draw a line parallel to y-axis
and passing through (-3 , 0 ). This lines meets the graph of 2x +3y =12 at a point p
from which we draw a line parallel to x - axis crosses y - axis at y = 6, so, the
coordinates of the required point are (-3, 6) .

Concept: Equations of Lines Parallel to the X-axis and Y-axis
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 7 Linear Equations in Two Variables
Exercise 7.3 | Q 11

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