Question

Find the point at which the line represented by the equation $6x+5y=9,$ intersects the x-axis.

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

Answer 1

The correct option is B

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

Let the line intersects at point (x, y).

We know that if a line intersects the x-axis then the y coordinate of the point at which it intersects will be 0.

$\Rightarrow$ y = 0

On substituting y = 0 in the given equation, we get

$6x+0=9$

$\Rightarrow x=\frac{3}{2}$

Thus, the point at which the given line intersects the x-axis is $(\frac{3}{2},0).$