Question

The line 6x + 5y = 9, cuts the x-axis at

• A. (0, $\frac{3}{2}$)
• B. ( $\frac{3}{2}$, 0)
• C. (1, $\frac{3}{2}$)
• D. (2, 3)

Answer 1

The correct option is B

( $\frac{3}{2}$, 0)

The line cuts the x-axis when the value of y coordinate is 0.
Thus, On x-axis y = 0
Putting this value in the given equation:
$\Rightarrow 6x=9$
$\Rightarrow x=\frac{3}{2}$
Thus, the point where the given line cuts the x-axis is ($\frac{3}{2}$,0).