Question

For a linear polynomial $ax+b,a\ne 0$, the graph is a straight line which intersects the x-axis at ________.

• A. (-a/b, 0)
• B. (b/a, 0)
• C. (-b/a, 0)
• D. (a/b, 0)

Answer 1

Answer: (C)

(-b/a, 0)

When a curve or a line intersects X-axis then the y-co ordinate will be zero. Because on X-axis the value of y-co ordinate is zero.

Given equation is $y=ax+b$

Now on substituting $y=0$ we get $ax+b=0$

$\Rightarrow$ $ax=-b$

$\Rightarrow$ $x=\frac{-b}{a}$

Therefore the co ordinates are $(\frac{-b}{a},0)$

Therefore, Option C is correct.