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How do you write an equation that contains points (-2, -7) and is parallel to x=4?

Answer 1

#x=-2#

#x=4# is a vertical line; so any line parallel to it must be a parallel line; that is it must be of the form #x=c# for some constant #c#

If the required line goes through #(x,y)=(-2,-7)# then #x=-2# at that point and therefore must be equal to #-2# for all points (to be a vertical line).

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Answer 2

Kennedy Adams

To write an equation for a line parallel to ( x = 4 ) and passing through the point ( (-2, -7) ), you need to maintain the same slope as the given line.

Since ( x = 4 ) is a vertical line parallel to the y-axis, it has an undefined slope.

Therefore, the equation of the line parallel to ( x = 4 ) passing through ( (-2, -7) ) will be ( x = -2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.