Question

Determine the equivalent slope of the line based on the given conditions.

1.)parallel to the line whose equation is x = 2.
2.)perpendicular to the line whose equation is y =3

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

Answer 1

For part b. a line is perpendicular is m2=-1/m1

We have y =3 where m1=0 since y=0*x+3

The line perpendicular is m2=-1/m1=-1/0 which is undefined

So y-y1=m(x-x1)
y-y1=-1(x-c)/0
0*(y-y1)=-1(x-c)
0=-x+c
x=c where c can be any number

Answer 2

so my answer for 1.) is " any real number"
and for 2.) is "m=undefined"
am I right?

Answer 3

For part a.

a line is parallel if m2=m1

We have x=2 where m1=1/0 since y=(x-2)/0

The line parallel is m2=m1=1/0 which is undefined

So y-y1=m(x-x1)
y-y1=1(x-c)/0
0*(y-y1)=-1(x-c)
0=-x+c
x=c where c can be any number

Answer 4

That's another way to do it moongazer :)

Answer 5

What exactly should I write on my paper?

Answer 6

pretty much just what I wrote above, do you have any questions about any steps?

Answer 7

Thanks for answer all my questions. You helped me a lot. :)