Answer
$m=-\dfrac{11}{2}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Convert the given equation, $
11x+2y=3
,$ to the Slope-Intercept Form to identify the slope of the line.
$\bf{\text{Solution Details:}}$
Using the properties of equality, in the Slope-Intercept Form which is given by $y=mx+b,$ the given equation is equivalent to
\begin{array}{l}\require{cancel}
11x+2y=3
\\\\
2y=-11x+3
\\\\
y=\dfrac{-11}{2}x+\dfrac{3}{2}
\\\\
y=-\dfrac{11}{2}x+\dfrac{3}{2}
.\end{array}
Since $m$ is the slope in the equation $y=mx+b,$ then the slope of the linear equation above is $
m=-\dfrac{11}{2}
.$
