Answer:
The equation of the line would be y = -3x + 29
Explanation:
In order to find the equation, you first need to solve the original equation for y to find the slope.
4x - 12y = 2
-12y = -4x + 2
y = 1/3x -1/6
Now that we have the slope of -1/3, we know the perpendicular slope will be -3. This is because perpendicular lines have opposite and reciprocal slopes. Now we can use that and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y + 1 = -3(x - 10)
y + 1 = -3x + 30
y = -3x + 29