$\"\"$

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Observe the graph,

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Consider the four sides $\"\"$ .

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The quadrilateral has the vertices $\"\"$ and $\"\"$ .

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Find the line equation $\"\"$ .

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The diagonal line passes through the points $\"\"$ and $\"\"$ .

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Find the slope.

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$\"\"$ .

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$\"\"$ (Formula for slope)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ and $\"\"$ )

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Therefore, the slope is $\"\"$ .

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The line equation form is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$

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Find the line equation $\"\"$ .

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The diagonal line passes throught the points are $\"\"$ and $\"\"$ .

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Find the slope.

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the slope is $\"\"$ .

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The line equation form is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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The equations are $\"\"$ and $\"\"$ .

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$\"\"$

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Solve the equation substitution method.

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$\"\"$ (First equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$

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Find the $\"\"$ value.

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$\"\"$ (Second equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Simplify)

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The diagonals of the quadrilateral intersect at is $\"\"$ .

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$\"\"$

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The diagonals of the quadrilateral intersect at is $\"\"$ .

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