Question

1. Which four lines form the four sides of a rectangle? Use the space explain your reasoning carefully in the space below. Week 13 Homework Packet.pdf 487 KB 4 VIEW 9 M MO 0 o

Answer 1

1)

$\begin{gathered} y+2x=8 \\ y=-2x+8;\text{ m=-2; b=8} \end{gathered}$

2)

$\begin{gathered} 2y+\frac{1}{2}x+1=0 \\ y=-\frac{1}{4}x-1;\text{ m=-1/4} \end{gathered}$

3)

$\begin{gathered} 2y+x=1 \\ y=-\frac{1}{2}x+1;\text{ m=-1/2} \end{gathered}$

4)

$y=x-4;\text{ m=1}$

5)

$\begin{gathered} y=2(x-1) \\ y=2x-2;\text{ m=2} \end{gathered}$

6)

$\begin{gathered} 2y=x-4 \\ y=\frac{1}{2}x-2;\text{ m=1/2} \end{gathered}$

7)

$\begin{gathered} y+2x+2=0 \\ y=-2x-2;\text{ m=-2} \end{gathered}$

8)

$y=\frac{1}{2}x+2;\text{ m=1/2}$

9)

$y=4-x;\text{ m=-1}$

10)

$\begin{gathered} 2y=4-x \\ y=-\frac{1}{2}x+2;\text{ m=-1/2} \end{gathered}$

A rectangle has 2 sets of parallellines that means they have the same slope (m) and 2 sets of perpendicular lines (opposite reciprocal slopes)

Lines with the same slope: 6 and 8

*Lines 6 and 8, are part of the rectangle, 2y=x-4 and y=1/2x+2

Lines with perpendicular lines to 6 and 8: 1 and 7

*Lines 1 and 7, are part of the rectangle, y+2x=8 and y+2x+2=0