Answer
$x+2y =5 $
Work Step by Step
First, we solve for the slope of the perpendicular line:
$2x -y =4 \\ y =2x -4$
Since this is in slope intercept form, we see that the slope is 2. Thus, the slope of the perpendicular line is the opposite reciprocal, which is -1/2. Thus, we use point slope form, and then we simplify to standard form:
$y - y_{1} = m(x-x_{1}) \\ y-3 = -1/2(x+1) \\ 2y-6 = -x-1 \\x+2y = 5$
