Find an Equation for the Line with the Given Properties $L$

Multiple Choice

Find an equation for the line with the given properties.
-The solid line $L$ contains the point $( - 1,4 )$ and is perpendicular to the dotted line whose equation is $\mathrm { y } = 2 \mathrm { x }$ . Give the equation of line $\mathrm { L }$ in slope-intercept form.

A) $y = - \frac { 1 } { 2 } x + \frac { 7 } { 2 }$
B) $y - 4 = - \frac { 1 } { 2 } ( x + 1 )$
C) $y = \frac { 1 } { 2 } x + \frac { 7 } { 2 }$
D) $y - 4 = 2 ( x + 1 )$