Answer: The required slope of the given function is \(-\dfrac{a}{b}.\)
Step-by-step explanation: We are given the following function that represents a straight line :
\(L:ax+by+c=0,b
eq0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We are to find the slope of the given function.
We know that
the slope-intercept form of a linear function is given by
\(y=mx+c,\) where m is the slope and c is the y-intercept of the function.
From equation (i), we get
\(ax+by+c=0\\\\\Rightarrow by=-ax-c\\\\\Rightarrow y=-\dfrac{a}{b}x-\dfrac{c}{b}~~~~~~~~~~~~~~~~~~~~~~[\textup{since }b
eq0]\)
Comparing the above equation with the slope-intercept form, we get
\(m=-\dfrac{a}{b}.\)
Thus, the required slope of the given function is \(-\dfrac{a}{b}.\)
