Solution:
Given:
[tex]y=\frac{3}{4}x+2[/tex]Comparing the equation of the line to slope-intercept form;
[tex]\begin{gathered} y=mx+b \\ y=\frac{3}{4}x+2 \\ \\ slope,m=\frac{3}{4} \\ y-intercept,b=2 \end{gathered}[/tex]When two lines are parallel, they have equal slopes.
[tex]m_1=m_2[/tex]Hence, the slope of the line parallel to y = (3/4)x + 2 is;
[tex]m_2=\frac{3}{4}[/tex]