What is the slope of a line perpendicular to x - 5y = -10?

what is the slope of a line parallel to 4x + y = -1?

what is the slope of a line perpendicular to x - 3y = 9?

what is the slope of a line parallel to 10x - 5y = 8?

what is the slope of a line parallel to 4x + 2y = 5?

Slope of line perpendicular to : x - 5y = -10
-5y = -x - 10
y = 1/5x + 2slope here is 1/5...perpendicular line needs a negative reciprocal slope. All that means is flip the slope and change the sign.
1/5flip5/1change the sign-5/1...or just -5 <== answer

 slope of line parallel to 4x + y = -1
y = -4x - 1...slope here is -4parallel lines will have the same slope
answer is : -4

slope of line perpendicular to x - 3y = 9
-3y = -x + 9
y = 1/3x - 3slope = 1/3flip...3/1change sign...-3 <== answer

slope of line parallel to 10x - 5y = 8
-5y = -10x + 8
y = 2x - 8/5slope = 2parallel lines have same slope...answer = 2

slope of line parallel to 4x + 2y = 5
2y = -4x + 5
y = -2x + 5/2slope = -2