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

Match The Correct Slopeinternet Form Of An Equation With The Standard Form Of The Same Equation class=

Sagot :

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,

[tex]\begin{gathered} y=-\frac{A}{B}x+\frac{C}{B} \\ y=-\frac{-1}{1}x+\frac{2}{1} \\ Simplify \\ y=x+2 \end{gathered}[/tex]

For x-y=2,

A=1

B=-1

C=2

So,

[tex]\begin{gathered} y=-\frac{A}{B}x+\frac{C}{B} \\ =-\frac{1}{-1}x+\frac{2}{-1} \\ Simplify \\ y=x-2 \end{gathered}[/tex]

For x+y=-2,

A=1

B=1

C=-2

So,

[tex]\begin{gathered} y=-\frac{A}{B}x+\frac{C}{B} \\ y=-\frac{1}{1}x+\frac{-2}{1} \\ y=-x-2 \end{gathered}[/tex]

For -x-y=-2,

A=-1

B=-1

C=-2

So,

[tex]\begin{gathered} y=-\frac{A}{B}x+\frac{C}{B} \\ =-\frac{-1}{-1}x+\frac{-2}{-1} \\ Simplify \\ y=-x+2 \end{gathered}[/tex]

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

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