Answer
Therefore the slope of a line parallel to the given line also $\frac{3}{4}$.
Work Step by Step
RECALL:
$\\\\$(i) The slope-intercept form of a line's equation is $y=mx+b$, m=slope and b=y-intercept.
$\\\\$(ii) Parallel lines have slopes that are equal.
$\\\\\\$Write the given equation in slope-intercept form to have:
$\\\\4y=3x+10
\\\\y=\dfrac{3x+10}{4}
\\\\y=\frac{3}{4}x+\frac{5}{2}$
$\\\\$The given function has a slope of $\frac{3}{4}$.
$\\\\$Parallel lines have the same slopes therefore the slope of a line parallel to the given line also $\frac{3}{4}$.