SOLUTION: I've been trying to figure a few of these equations all day, but I can't seem to understand the how to find the slopes and graphs and I'm getting more homework than I can keep up w

Question 80689: I've been trying to figure a few of these equations all day, but I can't seem to understand the how to find the slopes and graphs and I'm getting more homework than I can keep up with. Also is there a more simple explanation of how to find whether points are parallel or perpendicular? Is there a way I can get some one on one tutoring, either from here or another program?
-find the slope of any line perpendicular to the line through points (0,5) and
(-3,-4)
-Floor plans for a building have the four corners of a room at the points (2,3),(11,6),(-3,18) and (8,21).
Determine whether the side through the points(2,3) and (11,6) is perpendicular to the sides through the points (2,3) and (-3,18).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets find the slope through the points (0,5) and (-3,-4)
note: check out this solver to get more help with finding the slope

Solved by pluggable solver: Finding the slope

Slope of the line through the points (0, 5) and (-3, -4)

Answer: Slope is

Since the perpendicular slope is the negative inverse of the original slope, we can say the perpendicular slope is
where is the perpendicular slope

So plug in m=3 to get

So the perpendicular slope is

---------------------------------------------------------------
"Floor plans problem"
First lets find the slope through (2,3) and (11,6)

Solved by pluggable solver: Finding the slope

Slope of the line through the points (2, 3) and (11, 6)

Answer: Slope is

Now lets find the slope through (2,3) and (-3,18)

Solved by pluggable solver: Finding the slope

Slope of the line through the points (2, 3) and (-3, 18)

Answer: Slope is

Notice that the side that contains the points (2,3) and (11,6) has a slope of . Also notice that the side containing (2,3) and (-3,18) has a slope of . So to see if they are perpendicular we simply invert and negate either slope. For instance, lets invert and negate the first slope :

So the perpendicular slope is -3. This shows that -3 and 1/3 are perpendicular slopes which means the two sides are perpendicular.

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