SOLUTION: Write the equation for the following problem? a vertical line that passes through (4,-7)

Question 326105: Write the equation for the following problem? a vertical line that passes through (4,-7)
Found 2 solutions by vksarvepalli, solver91311:
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
vertical line means a line that is parallel to the y axis
a line parallel to the y axis will be of the form x= some constant
now here the line is passing through the point (4,-7)
so the equation of the line is x=4.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Recall the slope formula: The difference in the -coordinates divided by the difference in the -coordinates.

In order for the line to be vertical, -coordinates have to be equal. If the -coordinates are equal, the denominator (the difference in the -coordinates) has to be zero. If the denominator is zero, the slope is undefined. So a vertical line has an undefined slope and is a set of ordered pairs where all of the -coordinates are identical. If you want your vertical line to pass through the point , then all of the points on your line must have an -coordinate of 4, and you don't care what the -coordinate value is. The only way to describe such a set of ordered pairs is:

Which, if you consider the possibility of writing it as:

is, as you can see, written in Standard Form. The equation of a vertical line is the only equation of a line that CANNOT be written in slope-intercept, point-slope, or two-point form because all of these forms require expressing the slope.

John

RELATED QUESTIONS
Write an equation for a vertical line that passes through (-7,... (answered by Alan3354)
write the equation of the vertical line that passes through the point... (answered by mananth)
write the equation of the vertical line that passes through the point... (answered by Alan3354)
Write an equation for the vertical line that passes through (14,5). The equation is... (answered by mananth)
how do you write an equation for the vertical line that passes through... (answered by nyc_function)
How would I write an equation for a horizontal and vertical line that passes through the... (answered by srinivas.g)
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). (answered by rfer)
Write the slope-intercept equation for the line that passes through (-4, -3) and (-6,... (answered by John10)
Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7). (answered by jim_thompson5910)