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AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC

2 Answers

4 votes

Answer:

-7x − 5y = -48

Explanation:

This was correct on plato :D

User Rande
by
8.2k points
2 votes

Answer:


7x+5y-48=0

Explanation:

Refer the attached figure .

We are given a line AB

Point A
=(x_1,y_1) = (-3,-1)

Point B
=(x_2,y_2) = (4,4)

Formula for slope 'm' when two points are given :


m=(y_2-y_1)/(x_2-x_1)

Substituting thew values


m=(4-(-1))/(4-(-3))


m=(5)/(7)

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.


\Rightarrow m_1* m_2 =-1


\Rightarrow (5)/(7)* m_2 =-1


\Rightarrow m_2 = (-7)/(5)

So, Slope for line BC :
m_2 = (-7)/(5)

Point B = (4,4)

Formula of equation of line :
y-y_1=m(x-x_1)


y-4=(-7)/(5)(x-4)


5(y-4)=-7(x-4)


5y-20=-7x+28


7x+5y-20-28=0


7x+5y-48=0

Hence the equation of line BC :
7x+5y-48=0

AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation-example-1
User Joe Todd
by
8.2k points

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