Answer
$$ y + 2x - 14 = 0$$
Work Step by Step
Parallel lines have the same slope. Therefore, to answer this question, we must first identify the slope of the line with the given equation. Since it's in general form, we first re-write it in slope-intercept form: $$4x + 2y - 5 = 0$$ $$2y = -4x + 5$$ $$y = -2x + \frac{5}{2}$$ where the slope is $m = -2$. To solve for the missing equation, we use this slope and the point given to write it in point-slope form: $$y - (-10) = -2(x - (-7))$$ $$y + 10 = -2x + 14$$ which we can now write in general form as so: $$ y + 2x - 14 = 0$$
