Question

Match the correct slope-internet form of an equation with the standard form of the same equation.

Answer 1

Given:

-x+y=2

x-y=2

x+y=-2

-x-y=-2

To match the correct slope-intercept form of an equation, we follow the process as shown below:

Standard Form: Ax+By=C

Conversion: y= -A/Bx+C/B

So,

For -x+y=2:

A=-1

B=1

C=2

Hence,

`\begin{gathered} y=-(A)/(B)x+(C)/(B) \\ y=-(-1)/(1)x+(2)/(1) \\ Simplify \\ y=x+2 \end{gathered}`

For x-y=2,

A=1

B=-1

C=2

So,

`\begin{gathered} y=-(A)/(B)x+(C)/(B) \\ =-(1)/(-1)x+(2)/(-1) \\ Simplify \\ y=x-2 \end{gathered}`

For x+y=-2,

A=1

B=1

C=-2

So,

`\begin{gathered} y=-(A)/(B)x+(C)/(B) \\ y=-(1)/(1)x+(-2)/(1) \\ y=-x-2 \end{gathered}`

For -x-y=-2,

A=-1

B=-1

C=-2

So,

`\begin{gathered} y=-(A)/(B)x+(C)/(B) \\ =-(-1)/(-1)x+(-2)/(-1) \\ Simplify \\ y=-x+2 \end{gathered}`

Therefore, the answers are:

-x+y=2----y=x+2

x-y=2-----y=x-2

x+y=-2----y= -x-2

-x-y=-2----y= -x+2