Question

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​

Answer 1

Graph of the equation 2x +3y = 12

We have 2x +3y = 12

2x = 12 -3y

$\sf \: x = \frac{(12-3y)}{2} \: Putting \: y = 2 \: we get$

$\sf \: x = \frac{(12-3 x 2)}{2} = 3$

Putting y = -4 we get x = (12-3 x 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

Graph in attachment