Answer:
[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]
Explanation:
[tex]\rightarrow \sf 3x - 5y = -10[/tex]
[tex]\rightarrow \sf - 5y = -10-3x[/tex]
[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]
[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]
Comparing it with slope intercept formula: y = mx + b
- where m is the slope, b is y intercept
Identify the slope for this function:
[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]
Then perpendicular slope shall be negatively inverse:
[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]
