Question

Draw the graphs of the following equations : 3x + 2y +6=0,3x + 8y -
12 = 0. Also determine the co-ordinates of the vertices of the triangle
formed by these lines and the x-axis.​

Answer 1

Solution:
2x + 5y = 12

We have,

x + y = 3

When y = 0 we have x = 3

When x = 0 we have y = 3

Thus we have the following table giving points on the line x + y = 3

X 0 3
Y 3 0
Now, 2 + 5y = 12



When x = 1, we have



Thus we have the following table giving points on the line 2x + 5y = 12

X 1 -4
Y 2 4
Graph of the equation x + y = 3 and 2x + 5y = 12 is

Graph of the equation