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How do you write an equation of a line given the point (2,3) and the m=undefined?

Answer 1

#x=2# is the equation of the line through #(2,3)# with undefined slope.

If slope #m# is defined, then the equation of a line can be written in the form #y = mx + c# where #c# is the intercept with the #y# axis.

Given two points #(x_1, y_1)# and #(x_2, y_2)# on a line, the slope is given by the formula:

#m = (Delta y)/(Delta x) = (y_2 - y_1) / (x_2 - x_1)#

In the case of the line #x=2#, consider the two points #(2, 0)# and #(2, 1)#.

Then #(Delta y)/(Delta x) = (1 - 0) / (2 - 2) = 1/0# which is undefined.

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Answer 2

Hazel Anglin

The equation of the line with slope undefined passing through the point (2,3) is 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.