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LiRa [457]
3 years ago
14

PLEASE HELP 15 POINTS + BRAINLIEST Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoi

nt.​ midpoint - (-15,22) endpoint- (-8,15) Please help oh and heres the hint included (Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
FIRST TO ANSWER CORECTLY IS BRAINLIEST
Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Answer:

end point ₂ of a segment  X₂ = - 22 ;  Y₂ = 29

Step-by-step explanation:

given;

midpoint = ( Mx = - 15 , My = 22 )

endpoint ₁  = ( X₁ = - 8 ,  Y₁ = 15 )

find the other endpoint ₂ ( X₂ , Y₂)

<u>use the mid point formula to get the other endpoint:</u>

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 15 = (-8 + X₂) / 2                 22 = (15 + Y₂) / 2

-30 = - 8 + X₂                         44 = 15 + Y₂

X₂ = -22                                    Y₂ = 29

slavikrds [6]3 years ago
7 0

Answer:

So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.

Step-by-step explanation:

Use the midpoint formula

M = (  (x1 + x2) / 2  ,  (y1 + y2) / 2 )

(9, 0) = (  (x1 + 12) / 2  ,   (y1 + 3) / 2)

Break up this formula into two equations.

(x1 + 12) / 2 = 9   and (y1 + 3) / 2 = 0

 Solve for x1 and y1 from the equations.

 

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Write all three forms (slope intercept, point slope and standard) of a line containing the points (4, -11/3) and (1/2, -29/6).
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Answer:

See explanations below

Step-by-step explanation:

Slope intercept form of the equation is expressed as y = mx+b

m is the slope

b is the intercept

Given the coordinates (4, -11/3) and (1/2, -29/6)

Slope m = -29/6-(-11/3)÷(1/2-4)

m = (-29/6+11/3)÷(-7/2)

m = -29+22/6÷(-7/2)

m = -7/6÷(-7/2)

m = -7/6×2/-7

m = 2/6

m = 1/3

Get the intercept b

Substitute m= 1/3 and (4, -11/3) into y = MX+b

-11/3 = 1/3(4)+b

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b= -11/3-4/3

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b =-5

Get the required equation

y = 1/3 x -5 (slope-intercept form)

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Substituting m = 1/3 and the point (4,-11/3)

x0 = 4

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For standard format

Recall that y = 1/3x - 5

Multiply through by 3

3y = 1/3x(3)-5(3)

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3y-x = -15(standard form)

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