Chapter 1.5, Problem 5QR

Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0  and passes through the point Q ( − 3 , 10 , 15 )  at time t = 3 .Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) .

Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0  and passes through the point Q ( − 3 , 10 , 15 )  at time t = 3 .Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) .

draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation.