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?

Y=-4x would be parallel to 4x + y = - 1

y=-3x would be perpendicular to x - 3y = 9

y=-2x would be parallel to 10x - 5y = 8

y=2x would be parallel to 4x + 2y = 5

Slope of line perpendicular to : x - 5y = - 10

-5y = - x - 10

y = 1/5x + 2 ... slope here is 1/5 ... perpendicular line needs a negative reciprocal slope. All that means is flip the slope and change the sign.

1/5 ... flip ... 5/1 ... change the sign ... - 5/1 ... or just - 5 < = = answer

slope of line parallel to 4x + y = - 1

y = - 4x - 1 ... slope here is - 4 ... parallel lines will have the same slope

answer is : - 4

slope of line perpendicular to x - 3y = 9

-3y = - x + 9

y = 1/3x - 3 ... slope = 1/3 ... flip ... 3/1 ... change sign ... - 3 < = = answer

slope of line parallel to 10x - 5y = 8

-5y = - 10x + 8

y = 2x - 8/5 ... slope = 2 ... parallel lines have same slope ... answer = 2

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

2y = - 4x + 5

y = - 2x + 5/2 ... slope = - 2