Question

write the equation of a line that has an undefined slope and goes through the point (1,6)

Answer 1

What does it mean when a line has 'undefined' slope?

Answer 2

the line is horizontal

Answer 3

Actually it's vertical. Horizontal means it has 0 slope.

Answer 4

So if it's a vertical line, and it goes through the point (1,6) what other points would it go through?

Answer 5

(1,5)
(1,4)

Answer 6

Right. What do they all have in common?

Answer 7

they all cross the x axis at 1

Answer 8

They all have their x coordinate = 1.

So another way to say that is that they are all on the line x = 1.

Answer 9

And that's the equation you are looking for. x = 1 is the equation of a line with undefined slope through the point (1,6).

Answer 10

k so it wld b 6=m1+b?

Answer 11

Huh? no.

Answer 12

x = 1.

Answer 13

Find all the points on the graph with x = 1. Those points will form a line. That line is the line x = 1.

Answer 14

yes so b=6 therefore y=x+6

Answer 15

no. b = 0. There is no y intercept.

Answer 16

Look. The line is vertical. The equation is x = 1. That's all.

Answer 17

wheres the y ?

Answer 18

There is no y. y doesn't enter into it because the line is vertical.