Answer:
The equation of the line would be y = 2x + 13
Step-by-step explanation:
To find the equation, you first need to solve for y so we can get the original slope.
x + 2y = 5
2y = -x + 5
y = -1/2x + 5/2
Now that we have the original slope of -1/2. So the perpendicular slope is 2 (perpendicular slopes are opposite and reciprocal). Now we can use that and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 5 = 2(x - -4)
y - 5 = 2(x + 4)
y - 5 = 2x + 8
y = 2x + 13
