Question

URGENT

Consider the line -6x-5y=-5
What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Answer 1

m2=5/6 m=-6/5

Explanation:

two axes are perpendicular if the product of their slopes is equal to minus 1

first we find the slope for the axis we are given

-6x-5y=-5

this can also be written as

y=
`(-6)/(5) x`+1

-6/5 is the slope

-6/5*m2=-1

m2=5/6

this is the slope for the perpendicular axis

two lines are parallel if their slopes are equal

the slope for our line is -6/5 so the slope for the parallel line is also -6/5