Note:
The slope - Intercept form of the equation of a line is:
y = mx + c
where m is the slope and c in the intercept
The slope of the line perpendicular to the line y = mx + c will be given as -1/m
Let us write the given equation in the form y = mx + c
[tex]\begin{gathered} y\text{ + 2 = 6 - }\frac{2}{5}x \\ y\text{ = - 2 + 6 - }\frac{2}{5}x\text{ } \\ y\text{ = -}\frac{2}{5}x\text{ + 4} \end{gathered}[/tex]Comparing the above equation with y = mx + c
m = -2/5
c = 4
A line that is parallel to the graph will have a slope -1/m
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