Step-by-step explanation:
Hey there!
The given equation is;
-3x+4y = 2
Now, from this equation;
[tex]slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m = \frac{ - ( - 3)}{4} [/tex]
[tex]m = \frac{3}{4} [/tex]
As we know that the slope of line which are parallel to eachother is equal.
Therefore, the slope of the equation which is parallel to the equation is 3/4.
Hope it helps....