question_answer

The x-intercept of the graph of \[7x-3y=2\] is

A) \[\frac{3}{4}\]                          

B) \[\frac{3}{7}\]

C) \[\frac{2}{5}\]                          

D) \[\frac{2}{7}\]

Correct Answer: D

Solution :

At X-axis, y-coordinate = 0

\[\therefore \] On putting y = 0 in

\[7x-3y=2,\] we get

\[7x-3\times 0=2\]

\[\Rightarrow \]   \[7x=2\]\[\Rightarrow \]\[x=\frac{2}{7}\]

Similarly, putting x = 0 in \[7x-3y=2,\] we get

\[y=-\frac{2}{3}\]

Hence, x -intercept is \[\frac{2}{7}.\]