Question

3. Is the line through points P(0, -9) and Q(2, -8) perpendicular to the line through points R(1,4) and S(3, 3)?

Explain.

Answer 1

no

Explanation:

1. to make up the equations of lines PQ and RS:

(PQ)
`(x-0)/(2) =(y+9)/(1); \ (x)/(2)=(y+9)/(1);`

(RS)
`(x-1)/(-2)=(y-4)/(1); \ (x-1)/(-2)=(y-4)/(1);`

2. to write the pointed verctors of PQ and RS:

for PQ it is p=(2;1); for RS it is r=(-2;1).

3. according to the pointed vectors it is clear, the given lines are not perpendicular [2*(-2)+1*1≠0].