Question 1163430: 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 Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 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?
There are 2 equations.
It's not clear, but ---
Solve the equation for y
--> y = mx + b
m is the slope.
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b) What is the slope of any line parallel to the given line?
Parallel lines have the same slope.
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c) What is the slope of any line perpendicular to the given line?
The product of the slopes of perpendicular lines is -1.
m1 = -1/m2
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d) How many different lines are perpendicular to this line?
an infinite #
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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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