The slope of a line ax + by + c = 0 is: - Vidyadip

MCQ

The slope of a line $ax + by + c = 0$ is:

A
$\frac{\text{a}}{\text{b}}$
✓
$\frac{\text{-a}}{\text{b}}$
C
$\frac{\text{c}}{\text{b}}$
D
$\frac{\text{-c}}{\text{b}}$

✓

Answer

Correct option: B.

$\frac{\text{-a}}{\text{b}}$

We know that the general equation of a line is $ax + by + c = 0.$
Rearranging the equation, we get
$\Rightarrow by = -ax - c$
$\Rightarrow\text{y} =\big(\frac{\text{-a}}{\text{b}})\text{ x}-\big(\frac{\text{-c}}{\text{b}}) ...(1)$
This is of the form, $y = mx + c … (2)$
By comparing $(1)$ and $(2),$ we get
Slope, $\text{m} = \frac{\text{-a}}{\text{b}}$

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