### Home > INT3 > Chapter 1 > Lesson 1.2.3 > Problem1-106

1-106.

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

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

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

What is the relationship between the slopes?

2. Write the equation of the perpendicular line.

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

3. Where do the lines intersect?

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

$(4, 1)$