Graph the line $y=-\frac{1}{4}x+2$.

1. Sketch the line that is perpendicular to $y=-\frac{1}{4}x+2$ that passes through the point $(5, 5)$.

   Hint (a):

   Use the slope and $y$-intercept to graph the original line.

   More Help (a):

   What is the relationship between the slopes?

2. Write the equation of the perpendicular line.

   Hint (b):

   With the new slope, write the equation in $y = mx + b$ form and solve for $b$.

3. Where do the lines intersect?

   Hint (c):

   Set the equations equal to each other to solve for $x$. Then solve for $y$.

   Answer (a):

   $(4, 1)$