Find a Set of Symmetric Equations for the Line Through $( 4 , - 4,5 )$

question 145

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: $( 4 , - 4,5 )$ Parallel to: $x = 5 + 2 t , y = 7 - 4 t , z = - 2 + t$

• A)Symmetric equations: \(\frac { x - 4 } { 2 } = \frac { y - 4 } { - 4 } = z - 5\)
• B)Symmetric equations: \(\frac { x - 4 } { - 4 } = \frac { y + 4 } { 2 } = z - 5\)
• C)Symmetric equations: \(\frac { x - 4 } { 2 } = \frac { y - 4 } { - 4 } = z - 4\)
• D)Symmetric equations: \(\frac { x - 5 } { 2 } = \frac { y + 4 } { - 4 } = z - 4\)
• E)Symmetric equations: \(\frac { x - 4 } { 2 } = \frac { y + 4 } { - 4 } = z - 5\)