Question

Find the equation of the line that runs parallel to x-5=0 and passes through the point (8,6).

Answer 1

how do i find slope?

Answer 2

x=8

Answer 3

no slope, line is vertical

Answer 4

what tracy said

Answer 5

so how would i write the equation?

Answer 6

just have no slope?

Answer 7

the slope is 0 because x-5=0 is a vertical line. You would write the parallel line as x=8

Answer 8

but if it asks for the equation just do y-6=(x-8) or is there no equation because there is no slope

Answer 9

the equation y-6=(x-8) has a slope of 1

Answer 10

@tracy
slope of course is not zero
it is undefined

Answer 11

slope of
\[y=2\] is zero
slope of
\[x=5\] does not exist

Answer 12

oh yea sorry, horizontal lines have slope=0

Answer 13

so that line is undefined because its slope is non existent?

Answer 14

there is no equation of that line?

Answer 15

http://www.wolframalpha.com/input/?i=x-5%3D0

Answer 16

It's not a vertical line lol...my bad

Answer 17

no it has an equation. the equation for vertical line looks like
\[x=\text{some number}\]

Answer 18

it just doesn't have a slope, so you cannot for example use the point slope formula

Answer 19

so the equation would simply be x=8

Answer 20

no, it's y = x-5, with a slope of 1/1x - 5, -5 is the y-intercept.

Answer 21

y = mx+b
m is slope, b is y-intercept.
we can put this equation in:
0 = 1x+(-5)
y = 0, m = 1, b = -5.

Answer 22

No, because y is a variable. The original equation has x=5 even when y is not 0. Your equation works at that point, but is not parallel to x-5 = 0.