SOLUTION: Which statement is true of the given lines?
Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4
a) Lines a and b are parallel.
b) Lines a and c are parallel.
c) Lines a and
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Coordinate Systems and Linear Equations
-> SOLUTION: Which statement is true of the given lines?
Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4
a) Lines a and b are parallel.
b) Lines a and c are parallel.
c) Lines a and
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Question 174231: Which statement is true of the given lines?
Line a: -2x+y=4 Line b: 2x+5y=2 Line c: x+2y=4
a) Lines a and b are parallel.
b) Lines a and c are parallel.
c) Lines a and b are perpendicular.
d) Lines a and c are perpendicular. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Rewriting each of the given equation into the "point-slope" form of
y = mx + b
.
Line a: -2x+y=4
y = 2x+4
.
Line b: 2x+5y=2
5y = -2x+2
y = (-2/5)x + 2/5
.
Line c: x+2y=4
2y = -x + 4
y = (-1/2)x + 2
.
Since NO two lines have the same slope -- no lines are parallel.
Now, if two lines are "negative reciprocals" then they are perpendicular.
Slope of line a: 2
Slope of line c: -1/2
They are "negative reciprocals" --
that is, if you multiply the two slopes you'll get -1
.
Answer would be -- d) Lines a and c are perpendicular.
