Parallel and perpendicular

[x20harleigh09x]

Find the slope of a line that is
a. parallel to the line with the given equation and
b. perpendicular to the line with the given equation.
The teacher said to show work not just the answer.

y=3x

y=-3/7x-2

3x-4y=-7

 

[Deleted member 4993]

Find the slope of a line that is
a. parallel to the line with the given equation and
b. perpendicular to the line with the given equation.
The teacher said to show work not just the answer.

y=3x

y=-3/7x-2

3x-4y=-7

Excellent teacher - now follow the instruction - show work.

Hint:

Line y = m₁ * x + b₁ and line y = m₂ * x + b₂

i).................. are parallel to each other if m₁ = m₂

and

ii).................. are perpendicular to each other if m₁ * m₂ = -1

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[x20harleigh09x]

I was able to figure the last one out. the goal is to get y by itself right?
the first two, y is already by itself. thats where im lost at.

 

[lookagain]

Line y = m₁ * x + b₁ and line y = m₂ * x + b₂

i).................. are parallel to each other if m₁ = m₂


\(\displaystyle and \ \ b_1 \ne \ b_2, \ \ otherwise \ \ they're \ \ the \ \ same \ \ line.\)


and


ii).................. are perpendicular to each other if m₁ * m₂ = -1,

or one has an undefined slope while the other has a zero slope.

....