Question

Medal and fan! <3
Hey guys! how do I find the equation of a vertical line passing through a point?

Answer 1

My question is
What is the equation of a vertical line passing through the point (−4, 7)?

Answer 2

@Michele_Laino could you please help me?

Answer 3

@Nnesha could you please help me? :)

Answer 4

that is vertical line doesn't intersect the y-axis

Answer 5

vertical lines when x values are stay the same but y values are increasing
so if we use slope formula to find slope \[\frac{ y_2 -y_1}{ x_2 -x_1 } =\frac{ y_2 -y_1 }{ -4-(-4) }=\frac{y_2 -y_1}{-4+4}\]i just picked two points let say we have (-4,7) then x-coordinate of 2nd line would be same
( `-4` , 5)
doesn't matter what we sub for y but for vertical lines(x values would be same )
\[\frac{ y_2 -y_1}{ x_2 -x_1 } =\frac{ y_2 -y_1 }{ -4-(-4) }=\frac{y_2 -y_1}{-4+4} =\frac{y_2 -y_1}{0}\]
we can't divide by 0 so slope of vertical lines would be zero

Answer 6

so slope of vertical lines = undefined
line would be x = x-coordinate that would be ur vertical line

Answer 7

Hmm
so for the actual equation of the question it would just be the x-coordinate?

Answer 8

yes right
x = x-coordinate of the given order pair :=)

Answer 9

x=-4 :)?

Answer 10

Thank you so much for your help :D I really appreciate it!

Answer 11

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha
vertical lines when x values are stay the same but y values are increasing
so if we use slope formula to find slope \[\frac{ y_2 -y_1}{ x_2 -x_1 } =\frac{ y_2 -y_1 }{ -4-(-4) }=\frac{y_2 -y_1}{-4+4}\]i just picked two points let say we have (-4,7) then x-coordinate of 2nd line would be same
( `-4` , 5)
doesn't matter what we sub for y but for vertical lines(x values would be same )
\[\frac{ y_2 -y_1}{ x_2 -x_1 } =\frac{ y_2 -y_1 }{ -4-(-4) }=\frac{y_2 -y_1}{-4+4} =\frac{y_2 -y_1}{0}\]
we can't divide by 0 so slope of vertical lines would be zero
\(\color{blue}{\text{End of Quote}}\)
correction
`we can't divide by 0 so slope of vertical lines would be zero`
i meant to say :
slope of vertical lines is undefined

Answer 12

yes right x=-4
np :=)

Answer 13

^_^ Thanks again!

Answer 14

o^_^o