Answer:
The equation of line C would be y = -1/2x + 4
Step-by-step explanation:
To find the equation, we first need to find the slope. Since the original line has a slope of 2 and all perpendicular lines have opposite and reciprocal slopes, we know the new line to have a slope of -1/2.
Now we use that along with the given point in point-slope form.
y - y1 = m(x - x1)
y - 2 = -1/2(x - 4)
y - 2 = -1/2x + 2
y = -1/2x + 4
