help_people
  • help_people
@mathstudent55
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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help_people
  • help_people
Select the equations that are parallel and perpendicular to y = 2x - 1 and that pass through the point (4, 1). parallel: y = 2x - 7 perpendicular: y = negative one over twox + 3 parallel: y = 2x + 2 perpendicular: y = negative one over twox + four and one half parallel: y = negative one over twox - 7 perpendicular: y = 2x + 3 parallel: y = -2x - 7 perpendicular: y = negative one over twox - 1
help_people
  • help_people
i think it is a
help_people
  • help_people
@mathstudent55

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help_people
  • help_people
@mathmate @mathmath333
anonymous
  • anonymous
a is the first set of choices?
mathmath333
  • mathmath333
u should write the options properly to make them more understandable particularly the perpendicular lines
help_people
  • help_people
ok
help_people
  • help_people
hold on
help_people
  • help_people
a:\[y=2x-7\]
help_people
  • help_people
|dw:1433696367134:dw|
help_people
  • help_people
|dw:1433696418674:dw|
mathstudent55
  • mathstudent55
@help_people Do you know the relationship of the slopes of two parallel lines? Do you know the relationship of the slopes of two perpendicular lines?
help_people
  • help_people
parallel lines have asme slope different y-intercepts
mathstudent55
  • mathstudent55
Correct.
help_people
  • help_people
to ahnge to perpinduculat make the slope negative and the reciprocal?
mathstudent55
  • mathstudent55
Correct.
help_people
  • help_people
reciprocal is like 4/1 changef to 1/4
mathstudent55
  • mathstudent55
Yes.
help_people
  • help_people
i am sure you know that was just in case you were going to sake me :D
help_people
  • help_people
*ask
help_people
  • help_people
is a correct? i know that c and d are not correct
help_people
  • help_people
because of them for parallel they do not have the asme slope
mathstudent55
  • mathstudent55
Let's work on the parallel line first. Given line: \(y = 2x - 1\) General equation of line in slope-intercept form: \(y = mx + b\) A parallel line has the same slope as the given line. We need a line with slope 2.
mathstudent55
  • mathstudent55
The parallel line has to have an equation of the form \(y = 2x + b\) since we know its slope must be 2 just like the given line. We are given point (4, 1), so let's plug in (4, 1), and find b. \(1 = 2(4) + b\) What do you get for b?
help_people
  • help_people
1=6+b -6 -6?
mathstudent55
  • mathstudent55
2 * 4 = 8, not 6.
help_people
  • help_people
-8 srry than b=-7?
mathstudent55
  • mathstudent55
Then subtract 8 from both sides.
mathstudent55
  • mathstudent55
Yes. Since we now have b = -7, the parallel line is: \(y = 2x - 7\)
mathstudent55
  • mathstudent55
Now we can work out the perpendicular line in a similar way.
mathstudent55
  • mathstudent55
Now for the perpendicular line. Given line: \(y=2x−1\) General equation of line in slope-intercept form: \(y=mx+b\) Perpendicular lines have slopes that are negative reciprocals of each other. The given line has slope 2. What is the negative reciprocal of 2?
help_people
  • help_people
-1/2?
mathstudent55
  • mathstudent55
Correct. We now insert the new slope in the slope-intercept form. \(y = -\dfrac{1}{2}x + b\) Now we insert the know point on the line and solve for b.
mathstudent55
  • mathstudent55
\(y = -\dfrac{1}{2}x + b\) \(1 = \left( -\dfrac{1}{2} \right) (4) + b\) What is b?
help_people
  • help_people
3
mathstudent55
  • mathstudent55
Great. The equation of the perpendicular line is: \(y = -\dfrac{1}{2} x + 3\)
mathstudent55
  • mathstudent55
Now choose the correct choice from the answers.
help_people
  • help_people
is still say a @mathstudent55
mathstudent55
  • mathstudent55
Yes, A is the answer.
help_people
  • help_people
ty
mathstudent55
  • mathstudent55
yw

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