Question

Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.

y = 4

y = 6

x = 6

x = 2

Answer 1

y = 6......because x = 4 is a vertical line (it goes up and down)...and if you want a perpendicular line that goes through 6 on the y axis....then it would be y = 6.
I am not real good at explaining this stuff...

Answer 2

NNesha....can you explain this better ?

Answer 3

understand this....when you have y = a number, then it is a horizontal line (going across) and if you have x = a number, then it is a vertical line (going up and down)

Answer 4

Its ok i kinda get it

Answer 5

Ready for the next one?

here you go

Answer 6

slope of vertical line is undefined
doesn't matter what number we get at the numerator but denominator would always be zero so let's say slope of vertical line \[\large\rm m = \frac{ 3 }{ 0 }\]
and slope of perpendicular will be negative reciprocal
flip the fraction and change the sign \[\rm m= -\frac{0}{3}\]
^^^^^^^ slope of perpendicular line
plug that into the original equation \[\large\rm y=mx+b\] m is slope and b is y-intercept substitute x and y order pair for (2,6)
\[\rm 6=-\frac{0}{3}(2)+b\]
0 times anything = same thing
so \[\rm b=\color{red}{6} \rightarrow y=\color{reD}{b} \rightarrow y=\color{ReD}{6}\]