Question 4

From which of the following quadrants does the line 7x + 12y = 16 will pass?

Solution

Equation : $$7x+12y=16$$

Solving the equation by putting $$x=0$$, => $$12y=16$$

=> $$y=\frac{16}{12}=\frac{4}{3}$$

Also, putting $$y=0$$, => $$7x=16$$

=> $$x=\frac{16}{7}$$

$$\therefore$$ Plotting the graph for points $$(0,\frac{4}{3})$$ and $$(\frac{16}{7},0)$$

Thus, the equation $$7x+12y=16$$ passes through I, II and IV quadrants.

=> Ans - (D)

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