The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1
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OpenStudy (mathstudent55):
What do you know about the slopes of parallel lines?
OpenStudy (chancemorris123):
anything els? cuz i dont know much
OpenStudy (anonymous):
@mathstudent55 I was just about to post the answer to help him. Oh well, adios!
OpenStudy (mathstudent55):
Parallel lines have the same slope.
OpenStudy (chancemorris123):
yea post it
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OpenStudy (mathstudent55):
The given line has equation:
y = 2x + 3
That means the slope is 2.
The parallel line also has slope 2.
OpenStudy (chancemorris123):
so d? cuz that has 2x
OpenStudy (chancemorris123):
i know its not c
OpenStudy (anonymous):
A and B are parallel to the given equation as @mathstudent55 mentioned in the previous post
OpenStudy (mathstudent55):
The parallel line has equation
y = 2x + b
Now we need to find b.
We use the given point for x and y and solve for b.
-1 = 2(2) + b
-1 = 4 + b
-5 = b
Since b = -5, the equation of the parallel line is
y = 2x - 5
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OpenStudy (mathstudent55):
Which choice is y = 2x - 5?
OpenStudy (chancemorris123):
oh so we know its not c so that is out
OpenStudy (chancemorris123):
b its b
OpenStudy (chancemorris123):
i know it
OpenStudy (mathstudent55):
Correct.
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OpenStudy (chancemorris123):
your the man now i can finally sleep i was up all day doing hw