Lesson 12

For each equation, is the graph of the equation parallel to the line shown, perpendicular to the line shown, or neither?

1. \(y=0.2x\)
2. \(y=\text- 2x+1\)
3. \(y=5x-3\)
4. \((y-3)=\text- 5(x-4)\)
5. \((y-1)=2(x-3)\)
6. \(5x+y=3\)

Main Street is parallel to Park Street. Park Street is parallel to Elm Street. Elm is perpendicular to Willow. How does Willow compare to Main?

The line which is the graph of \(y=2x-4\) is transformed by the rule \((x,y)\rightarrow (\text-x,\text-y)\). What is the slope of the image?

Select all equations whose graphs are lines perpendicular to the graph of \(3x+2y=6\).

\(3x-2y=4\)

\(2x+3y=6\)

\(2x-3y=8\)

\((y-4)=\frac23(x-6)\)

\((y-2)=\text-\frac{3}{2}(x-8)\)

\(y=\frac23x\)

\(y=\frac32x+3\)

Match each line with a perpendicular line. 

The graph of  \(y = \text{-} 4x + 2\) is translated by the directed line segment \(AB\) shown. What is the slope of the image?

Select all points on the line with a slope of \(\text-\frac{1}2\) that go through the point \((4,\text-1)\).

\((\text-2, 2)\)

\((0,2)\)

\((4, \text-1)\)

\((0, 1)\)

\((\text-3, 8)\)

One way to define a circle is that it is the set of all points that are the same distance from a given center. How does the equation \((x-h)^2+(y-k)^2=r^2\) relate to this definition? Draw a diagram if it helps you explain.