SOLUTION: Help please..find the slope of any line perpendicular to the line through points (10, 18) and (6, 10). a. -1/2 b. 1/2 c. -2 d. 2

Question 321301: Help please..find the slope of any line perpendicular to the line through points (10, 18) and (6, 10).
a. -1/2
b. 1/2
c. -2
d. 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Step 1) Find the slope of the line through the points (10, 18) and (6, 10)

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

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

Step 2) Take the reciprocal of the given slope and change the sign.

Since the slope of the line that goes through the points

and

is , which can be written as , we can flip the fraction and then change the sign to get the perpendicular slope of

===============================================

Answer:

The slope of ANY line perpendicular to the line that goes through the points

and

is making the answer a)
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