Question

the slope of a line x/a+y/b=1 is what

Answer 1

slope of line is. (-1/a)/(1/b)
=-b/a

Answer 2

Answer: The slope of the given line is $-(\frac{b}{a} )$.

Step-by-step explanation:

• To solve this question we need to understand the concept of equation of line.

• The standard equation of line is y=mx + c;

• Where m is the slope of the line and c is the intercept.

• Given, $\frac{x}{a}+\frac{y}{b}=1$

       ⇒$\frac{bx+ay}{ab}=1$

       ⇒$bx+ay=ab$

       ⇒ $y=-\frac{b}{a}x-b$

• Comparing the above equation with the standard equation of line we get the value of slope as $-(\frac{b}{a} )$.

• Hence, the required slope is  $-(\frac{b}{a} )$.

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