Explanation:
Hey there!
The given equation is;
-3x+4y = 2
Now, from this equation;
![slope(m) = ( - coeff. \: of \: x)/(coeff. \: of \: y)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fozrl6fdya8fvd1j0f1tfcecf936yjfnsx.png)
![m = ( - ( - 3))/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xd647ld87yb6u8r48ts9r95otfkl2ebmdk.png)
![m = (3)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q2dipxscom4xehs0ids24rewx7x3nott3e.png)
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....