Question

Draw the graphs of the equations 3x - y + 9 = 0 and 3x + 4y - 6 = 0.

Also determine the vertices of the triangle formed by the lines and the x – axis.

Answer 1

The given equation is

3x – y = – 9

and 3x + 4y = 6

Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.

Table for 3x – y = – 9 or y = 3x + 9

Here, the lines are intersecting at point C ( – 2, 3).

The coordinates of the vertices of ∆ACE are A( – 3,0), C( – 2,3)and E(2,0)