SOLUTION: Considering the linear equations 1) (y)/2+3x-10=(x+y)/2 2) 3x/4+4=2y/3+2 a) What is the slope of the line represented by the given equation?

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Question 1163492: Considering the linear equations
1) (y)/2+3x-10=(x+y)/2
2) 3x/4+4=2y/3+2
a) What is the slope of the line represented by the given equation?
b) What is the slope of any line parallel to the given line?
c) What is the slope of any line perpendicular to the given line?
d) How many different lines are perpendicular to this line?
e) Find the equation of the line which is perpendicular to the given line and which passes through the point (2, 5).

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
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1) (y)/2+3x-10=(x+y)/2
2) 3x/4+4=2y/3+2
a) What is the slope of the line represented by the given equation?
b) What is the slope of any line parallel to the given line?
c) What is the slope of any line perpendicular to the given line?
d) How many different lines are perpendicular to this line?
e) Find the equation of the line which is perpendicular to the given line and which passes through the point (2, 5).
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The FIRST equation:

------------slope is undefined.

The SECOND equation:

and to make slope easier to see,

-----------------------slope is .

You asked three more questions which you can figure out on your own.
(the product of the slopes of two lines perpendicular in the plane is negative 1).