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+(1)/(2)x+1=0 \\ y=-(1)/(4)x-1;\text{ m=-1/4} \end{gathered}`

3)

`\begin{gathered} 2y+x=1 \\ y=-(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=(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=(1)/(2)x+2;\text{ m=1/2}`

9)

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

10)

`\begin{gathered} 2y=4-x \\ y=-(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