Solution
Note: When two lines are parallel to each other, their slopes are equal.
[tex]\begin{gathered} \text{ Given the line } \\ y=\frac{2}{5}-\frac{4}{3}x \\ y=-\frac{4}{3}x+\frac{2}{5} \\ \\ \text{The general form of the equation of a straight line} \\ y\text{ = mx + c} \\ \text{where m = slope and c = y- intercept} \\ \\ By\text{ comparing }y=-\frac{4}{3}x+\frac{2}{5}\text{ with y = mx + c} \\ m=-\frac{4}{3} \\ \\ \text{The slope of the line }y=\frac{2}{5}-\frac{4}{3}x\text{ is }-\frac{4}{3} \\ \\ \text{The slope of the line parallel to the line }y=\frac{2}{5}-\frac{4}{3}x\text{ is also }-\frac{4}{3} \end{gathered}[/tex]The answer is -4/3
