Question

Write an equation of the line given the following conditions: perpendicular to the x-axis & passes through the point (-5, 2). Please Help.

Answer 1

Hi, cc104567

Answer 2

Do you remember the relation between the slopes of two perpendicular lines?

Answer 3

the slopes are the oppodite values of each other

Answer 4

Mmm that is almost correct. Actually the product of the slopes of two perpendicular lines is equal to -1
\[m1⋅m2=−1\]

Answer 5

ok

Answer 6

Well x axis is an horizontal line.

Answer 7

what kind of line is perpendicular to an horizontal line?

Answer 8

a vertical line

Answer 9

Yeah!. What is the equation of a vertical line?

Answer 10

y=0

Answer 11

No, y=0, is horizontal line. All the points like these: (1,0),(2,0),(3,0) lie on that line.

Answer 12

If you have a vertical lines all of its points looks like these (5,0),(5,1),(5,2),(5,10), etc.

Answer 13

A vertical line that passes trought the point (2,2) is x=2

Answer 14

k, so the answer is to negate the x-value

Answer 15

No, you know that is a vertical line, so you know it's something like x = somenumber

Answer 16

Actually the x-value of your point is telling you what is the equation.

Answer 17

What is the x-value of the point (5,-2)?

Answer 18

x=-5 ??

Answer 19

thanks I understand now x=5 is the equation right?

Answer 20

Yes, that is the equation, did you understand why?

Answer 21

you negated both the x and y values to make it perpendicular and the x-axis is supposed to make the equation

Answer 22

thanks

Answer 23

I didn't do that.