Question

a, show that the choice of an ordered pair to use to use as (x1,y1) does not affect the slope of the line through (2,3) and (-3,5).
b, show that y2-y1/x2-x1=y1-y2/x1-x2

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Answer 1

Step-by-step explanation:

a) We can easily check it!

First, let's consider (2,3) as (x1,y1) and (-3,5) as (x2,y2)

Slope can be calucated by

Slope = (y2-y1)/(x2-x1)

which is, (-3-2)/(5-3) = -5/2

Now we take (-3,5) as (x1,y1) and (2,3) as (x2,y2)

which gives slope = {2-(-3)} / (3-5) = 5/-2 = -5/2

Slope is same in both the cases!

b) can be done in the same way as above.