Answer:
The equation of the perpendicular line would be y = -1/2x - 1
Explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
-4x + 2y = 2
2y = 4x + 2
y = 2x + 1
This shows us a slope of 2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 2 to get -2 and then we flip it to get -1/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y + 2 = -1/2(x - 2)
y + 2 = -1/2x + 1
y = -1/2x - 1