Question

# Draw the graphs of the following  equations graphically. $$3x - 4y + 6 = 0; 3x + y - 9 = 0$$.Also, determine the coordinates of the vertices of the triangle formed by these lines and x - axis.

Solution

## The givenequation is $$3x - 4y + 6 = 0$$ and $$3x + y - 9 = 0$$.Now, let us find atleast two solutions of each of the aboveequations, as shown in the following tables.Table for $$3x - 4y + 6 = 0$$ or $$y = \frac{3x + 9} {4}$$ Now, table for $$3x + y - 9 = 0$$ or $$y = 9 - 3x$$Here, the lines intersecting at point C (2, 3).The coordinates of the verticles of $$\triangle ACD$$ are $$A(-2, 0), C(2, 3)$$ and $$D(3, 0)$$Mathematics

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