Please answer this! I could not figure it out. Neither could my classmates.

Question

asked Jul 1, 2023 227k views

2 Answers

Cristian Meneses · Answer 1 · 2023-07-05T20:14:53+0000

Answer:

$\sf \boxed{\sf D) \ \sf -(5)/(3) }$

Step-by-step explanation:

$\rightarrow \sf 3x - 5y = -10$

$\rightarrow \sf - 5y = -10-3x$

$\rightarrow \sf y = (-10-3x)/(-5)$

$\rightarrow \sf y= (3)/(5) x+2$

Comparing it with slope intercept formula: y = mx + b

Identify the slope for this function:

$\cdot \ \sf slope \ (m) : (3)/(5)$

Then perpendicular slope shall be negatively inverse:

$\sf perpendicular \ slope = -(m)^(-1) \quad = \quad -((3)/(5) ) ^(-1) \quad = \quad -(5)/(3)$