Question

Draw the graph of 2(x+3) -3(y+1) =0​

Answer 1

Step-by-step explanation:

after solving X=(-3/2) and Y=1

Answer 2

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\rm :\longmapsto\:2(x + 3) - 3(y + 1) = 0$

$\rm :\longmapsto\:2x + 6 - 3y - 3= 0$

$\rm :\longmapsto\:2x - 3y + 3= 0$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:2(0) - 3y + 3= 0$

$\rm :\longmapsto\:0 - 3y + 3= 0$

$\rm :\longmapsto\: - 3y + 3= 0$

$\rm :\longmapsto\: - 3y = - 3$

$\rm :\longmapsto\:y = 1$

Substituting 'y = 0' in the given equation, we get

$\rm :\longmapsto\:2x - 3(0) + 3= 0$

$\rm :\longmapsto\:2x - 0 + 3= 0$

$\rm :\longmapsto\:2x + 3= 0$

$\rm :\longmapsto\:2x = - 3$

$\rm :\longmapsto\:x = - 1.5$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 1 \\ \\ \sf - 1.5 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 1) & (-1.5 , 0)

➢ See the attachment graph.