Question 206334
If two lines are perpendicular then their slopes are negative reciprocals (that is, when they are multiplied together the result is -1) so the line you are looking for has a slope of +1/2 and passes through the point (-4,7).
Using the point-slope form of the equation we have:  y-7 = (1/2)(x+4).  If you need it in slope-intercept form, just solve for y and simplify.