Lesson 11

Write an equation for a line that passes through the origin and is perpendicular to \(y=5x-2\).

Match each line with a perpendicular line. 

The  rule \((x,y)\rightarrow (y,\text-x)\) takes a line to a perpendicular line. Select all the rules that take a line to a perpendicular line. 

\((x,y)\rightarrow (2y,\text-x)\)

\((x,y)\rightarrow (\text-y,\text-x)\)

\((x,y)\rightarrow(\text-y,x)\)

\((x,y)\rightarrow(0.5y,\text-2x)\)

\((x,y)\rightarrow(4y,\text-4x)\)

1. Write an equation of the line with \(x\)-intercept \((3,0)\) and \(y\)-intercept \((0,\text-4)\).
2. Write an equation of a line parallel to the line \(y-5=\frac43(x-2)\).

Triangle \(ADB\) is similar to triangle \(CEF\).

Triangle \(ADB\) is congruent to triangle \(CEF\).

The slope of line \(\ell\) is equal to the slope of line \(p\).

\(\sin(A) = \sin(C)\)

\(\sin(B) = \cos(C)\)

Select the equation that states \((x,y)\) is the same distance from \((0,5)\) as it is from the line \(y=\text-3\).

\(x^2+(y+5)^2=(y+3)^2\)

\(x^2+(y-5)^2=(y+3)^2\)

\(x^2+(y+5)^2=(y-3)^2\)

\(x^2+(y-5)^2=(y-3)^2\)

\(y=\text-x + 2\)

\((y-3) =\text-(x+1)\)

\((y-3) =\text-x-1\)

\((y-3) = (x-1)\)

\((y+1) =\text-(x-3)\)