Observe the graph,
Consider the four sides .
The quadrilateral has the vertices and .
Find the line equation .
The diagonal line passes through the points and .
Find the slope.
.
(Formula for slope)
(Substitute and )
(Subtract: and )
Therefore, the slope is .
The line equation form is .
(Substitute and )
(Distributive property: )
(Add to each side)
(Apply additive inverse property: )
Find the line equation .
The diagonal line passes throught the points are and .
Find the slope.
(Substitute and )
(Subtract: and )
(Simplify)
Therefore, the slope is .
The line equation form is .
(Substitute and )
(Distributive property: )
(Add to each side)
(Apply additive inverse property: )
The equations are and .
Solve the equation substitution method.
(First equation)
(Substitute )
(Add to each side)
(Apply additive inverse property: )
(Subtract from each side)
(Apply additive inverse property: )
(Multiply each side by )
(Cancel common terms)
Find the value.
(Second equation)
(Substitute )
(Multiply)
(Simplify)
(Subtract: )
(Simplify)
The diagonals of the quadrilateral intersect at is .
The diagonals of the quadrilateral intersect at is .
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