IM 8.2.11 Lesson: Writing Equations for Lines

Find each of the following and explain your reasoning:
The length of segment [math]BE[/math].
The coordinates of [math]E[/math].
Line j is shown in the coordinate plane.
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[/img][br][br][br]What are the coordinates of [math]B[/math] and [math]D[/math]?
Is point [math](20,15)[/math] on line [math]j[/math]? Explain how you know.
Is point [math](100,75)[/math] on line [math]j[/math]? Explain how you know.
Is point [math](90,68)[/math] on line [math]j[/math]? Explain how you know.
Suppose you know the [math]x[/math]- and [math]y[/math]-coordinates of a point. Write a rule that would allow you to test whether the point is on line [math]j[/math].
Here are two diagrams. Complete each diagram so that all vertical and horizontal segments have expressions for their lengths.
[size=150]Use what you know about similar triangles to find an equation for the quotient of the vertical and horizontal side lengths of [math]\Delta DFE[/math] in each diagram.[/size]
Find the area of the shaded region by summing the areas of the shaded triangles.[br]
Find the area of the shaded region by subtracting the area of the unshaded region from the large triangle.
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Information: IM 8.2.11 Lesson: Writing Equations for Lines