Mathematics: Ab and bc form a right angle at point b. if a= (-3,-1) and b= (4,4) what is the equation of bc?

Ab and bc form a right angle at point b. if a=

tamikagoss22

09.03.2022

Option C -7x-5y=-48

Step-by-step explanation:

step 1

Find the slope of AB

we have

A(-3,-1) and B(4,4)

The slope m is equal to

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

m=5/7

step 2

Find the slope of BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

we have

m1=5/7

substitute

5/7*m2=-1

m2=-7/5

step 3

Find the equation of the line into slope point form

y-y1=m(x-x1)

we have

m=-7/5

B(4,4)

substitute

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

Multiply by 5 both sides

5y-20=-7x+28

7x+5y=28+20

7x+5y=48

Multiply by -1 both sides

-7x-5y=-48

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