ALGEBRA 2, 2012
60

 PAGE: 149 SET: Exercises PROBLEM: 60

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: )

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: )

The equations are and .

Solve the equation substitution method.

(First equation)

(Substitute )

(Subtract from each side)

(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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