Q19 of 186 Page 3

Draw the graphs of the following equations 3x — 4y + 6 = 0; 3x + y — 9 = 0.

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

The given equation is

3x – 4y = – 9


and 3x + y = 9


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


Table for



Now, table for




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


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


More from this chapter

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17

Solve the following system of linear equations graphically:

5x — 6y + 30 = 0; 5x + 4y — 20 = 0


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

 18

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.

 20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

2y – x = 8


5y – x = 14


y – 2x = 1

 20

Use a single graph paper and draw the graph of the following equations. Obtain the vertices of the triangle so formed:

y = x


Y = 2x


x + y = 6