SOLUTION: Determine whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2 (3,4), (4,2)

Question 132977: Determine whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2
(3,4), (4,2)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's find the slope of the line through (3,4) and (4,2)

Let's denote the first point (3,4) as

. In other words,

and

Now let's denote the second point (4,2) as

. In other words,

and

-------------------------

Start with the slope formula

Plug in ,,,

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

Reduce

---------------------
Answer:

So the slope of the line through the points (3,4) and (4,2) is

So this line is parallel to the other line with a slope of -2
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