Question

Write an equation of a line that passes through the points (2,3) and (2,-6).

Answer 1

Once again start with the formula for the slope of a line

Answer 2

i think you typed that wrong it's undefined the way you set it up

Answer 3

@technofable I was trying to hold out on him since I mentioned this type of line in a earlier question he posted but this line is vertical because it has an undefined or infinite slope

Answer 4

ahh sorry didn't know

Answer 5

In other words the general formula for this line is
x = c
where c is a constant

Answer 6

@itsjustme_lol can you tell me what c is equal to this time?

Answer 7

0?

Answer 8

nope, remember when the line was horizontal (slope was equal to zero) the c value was what the y value was now the line is vertical and the x variable has taken the place of the y value in the general formula. Does that help?
If you still do not get it I will post the math for calculating the c value next

Answer 9

no im not really understanding it

Answer 10

the equation of a vertical line is
x = c
we can plug in one of the points on the line to find the value of c
x = c
2 = c
Now take c and plug it back into the general formula for a veritcal line to get the equation of this vertical line
x = c
x = 2

Answer 11

so the equation its x=2?

Answer 12

yes which, if you looked back at the points you were given, was the x value in both points that they gave you

Answer 13

thankyou!!!!!

Answer 14

just like how the c value when the line was horizontal was the y value in the points they gave you

Answer 15

hmm thats interesting

Answer 16

That was the pattern I was hoping you had noticed in this question but you can always use the method of substitution like you would if it was a standard line with a slope that was defined and not zero

Answer 17

A trick you might want to use or think about is...

When given two points, if the x values are the same then the equation of the line is
x = (whatever number the x's are) .... vertical line
When given two points, if the y values are the same then the equation of the line is
y = (whatever number the y's are) .... horizontal line