A line is determined by 2 points. If both P and Q satisfies the equation, it is an equation of the line.

a) (-1,-3)=(3,5)+s(1,2) for s=-4 P belongs to the line

(3,5)=(3,5)+(1,2) for s=0 Q belongs to the line therefore

**It is a vector equation of the line (PQ)**

3=2t-1, 5=4t-3 for t=2 therefore the coordinates of Q satisfy the equation.

(The entire section contains 203 words.)

## Unlock This Answer Now

Start your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.