Draw the graph of the equations x = 3 and 4x = 3y in the same graph. Find the area of the triangle formed by these two lines and the x-axis.

x = 3 represents a line parallel to y-axis at a distance of 3 units to the right of the origin.

4x = 3y

rightwards double arrow space

straight y space equals fraction numerator 4 straight x over denominator 3 end fraction

Table of solutions

x	0	3
y	0	4

We plot the points (0, 0) and (3, 4) on a graph paper and join the same by a ruler to get the line which is the graph of the equation 4x = 3y.

x = 3 represents a line parallel to y-axis at a distance of 3 units t

Area of the triangle OAB formed by the given two lines and the x-axis

equals fraction numerator 3 cross times 4 over denominator 2 end fraction equals 6

square units.

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