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)?

Answer 1

Answer:

no

Step-by-step explanation:

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

(PQ)  $\frac{x-0}{2} =\frac{y+9}{1}; \ \frac{x}{2}=\frac{y+9}{1};$

(RS)  $\frac{x-1}{-2}=\frac{y-4}{1}; \ \frac{x-1}{-2}=\frac{y-4}{1};$

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].