anonymous
  • anonymous
write the equation of the line perpendicular to y=4x+5 that passes through the point (8,-3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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pooja195
  • pooja195
All you need to do is flip the given slope and flip the sign
pooja195
  • pooja195
4/1 flipped =?
mathstudent55
  • mathstudent55
The slope of the given line is 4. 4 = 4/1 |dw:1450068625949:dw|

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More answers

mathstudent55
  • mathstudent55
To find the slope of the perpendicular line, flip the fraction 4/1 and change the sign. What do you get?
anonymous
  • anonymous
u still there?
anonymous
  • anonymous
to find the equation which is perpendicular to y=4x+5 u must use this formula\[m_1m_2=-1\]
anonymous
  • anonymous
so u multiply m1 and m2?
anonymous
  • anonymous
y=4x+5 where\[m_1=4\]
anonymous
  • anonymous
yes
anonymous
  • anonymous
what is m2 then?
anonymous
  • anonymous
substitue m_1 into the formula to find m_2
anonymous
  • anonymous
okay hold on
anonymous
  • anonymous
\[m_1m_2=-1\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
how?
anonymous
  • anonymous
m1 is 4
anonymous
  • anonymous
yes substitute m_1=4 into the formula
anonymous
  • anonymous
if i put m1=4 back to the equation i get 4(m2)
anonymous
  • anonymous
\[4m_2=-1\]
anonymous
  • anonymous
wait do i subtract 4-5
anonymous
  • anonymous
can u draw it
anonymous
  • anonymous
no u must divide both sides by 4
anonymous
  • anonymous
|dw:1450069774317:dw|
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
|dw:1450070021231:dw|
anonymous
  • anonymous
|dw:1450070071867:dw|
anonymous
  • anonymous
-1
mathstudent55
  • mathstudent55
|dw:1450070094935:dw|
anonymous
  • anonymous
\[m_1m_2=-1\]that is the formula to find the gradient of the second equation
anonymous
  • anonymous
i understand mathstudent55
mathstudent55
  • mathstudent55
The product of the slopes of perpendicular lines is -1. If you have the slope of a line, the slope of a perpendicular is obtained by flipping the fraction of the slope and changing the sign.
mathstudent55
  • mathstudent55
The slope of the given line is 4. Write 4 as a fraction: 4/1 Flip the fraction and change the sign: -1/4 The slope of the perpendicular is -1/4
anonymous
  • anonymous
k
mathstudent55
  • mathstudent55
Now we know that the perpendicular has an equation of the form: \(y = - \dfrac{1}{4} x + b\) We need to find b. Since we are given a point, we replace x and y with the coordinates of the point,and we solve for b.
anonymous
  • anonymous
once u hv the slope,u can either use \[y=mx+c\]\[or\]\[y-y_1=m(x-x_1)\]
mathstudent55
  • mathstudent55
|dw:1450070358494:dw|
mathstudent55
  • mathstudent55
Can you solve for b?
anonymous
  • anonymous
to find the equation...
mathstudent55
  • mathstudent55
What do you get for b? |dw:1450070431150:dw|
anonymous
  • anonymous
-1
anonymous
  • anonymous
but i suggest y=mx+c is much faster like what @mathstudent55 is doing :)
mathstudent55
  • mathstudent55
Great. b = -1 |dw:1450070499684:dw|
anonymous
  • anonymous
ayyy thats whjat i got
anonymous
  • anonymous
ty both
mathstudent55
  • mathstudent55
Great. Yw.
anonymous
  • anonymous
yw

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