Answer:
The equation of the line would be y = -1/4x + 2
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
28x - 7y = 9
-7y = -28x + 9
y = 4x - 9/7
Now that we have a slope of 4, we know that the perpendicular slope is -1/4 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -1/4(x - 4)
y - 1 = 1/4x + 1
y = -1/4x + 2
