Answer:
The equation of the line would be y = -4/3x - 15
Step-by-step explanation:
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 3/4, we know the new line will have a slope of -4/3. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -4/3(x + 12)
y - 1 = -4/3x - 16
y = -4/3x - 15
