Answer:
The equation of the line would be y = -1/2x - 15
Explanation:
To find the equation, we need to start by looking at the original equation's slope, which is 2. Perpendicular lines have opposite and reciprocal slopes, so the new line will have a slope of -1/2.
Now we use that and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 10 = -1/2(x + 50)
y - 10 = -1/2x - 25
y = -1/2x - 15