22.1k views
1 vote
4. AB formed by (-3, 8) and (2,3) CD formed by (-4, 6) and (-8, 2) perpendicular parallel or neither

User Malificent
by
7.6k points

1 Answer

2 votes

We need to calculate the equation of the segment AB, First, we need to calculate the slope

(-3, 8) =(x1,y1)

(2,3) =(x2,y2)


m=(y_2-y_1)/(x_2-x_1)=(3-8)/(2+3)=(-5)/(5)=-1

the equation is


\begin{gathered} y-8=-1(x+3) \\ y-8=-x-3 \\ y=-x-3+8 \\ y=-x+5 \end{gathered}

then we will calculate the same for the segment CD

(-4, 6) =(x1.y1)

(-8, 2) =(x2,y1)


m=(y_2-y_1)/(x_2-x_1)=(2-6)/(-8+4)=(-4)/(-4)=1

the equation is


\begin{gathered} y-6=1(x+4) \\ y-6=x+4 \\ y=x+4+6 \\ y=x+10 \end{gathered}

with the slopes, we can notice

mAB=-1

mCd= 1

because the slopes are inverse between each other, we can assume the lines given are perpendicular

User Hikmat Khan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.