Question

an equation for the line that contains (2,4) and has a undefined slope is :
choices are:
a. y=2x+4
b. x=2
c. y=3
d. y=0

Answer 1

Any line with an undefined slope is a vertical line. A vertical line will be of the form \(x = k\) where \(k\) is a constant.

Answer 2

I'm confused a little bit

Answer 3

okay, ask me a question and I'll try to unconfuse you :-)

Answer 4

first, do you understand why a vertical line has an undefined slope?

Answer 5

yep

Answer 6

okay, do you understand why a vertical line is of the form \(x = k\)?

Answer 7

I think

Answer 8

so what's the confusion? you've only got one answer choice which could possibly fit.

y = 2x+4 is a line with slope 2

y = 3 is a horizontal line, slope 0
(can be written as y = 0x + 3)

y = 0 is a horizontal line, slope 0
(can be written as y = 0x + 0)

that leaves x = 2, which is a vertical line which passes through (2,4) as well as (2,5), (2,3), (2, 11152342523498234234), and other points :-)

Answer 9

ooh ok thanks :D

Answer 10

did that clear up the confusion?