IM 8.2.11 Lesson: Writing Equations for Lines
Find each of the following and explain your reasoning:
The length of segment .
The coordinates of .
Line j is shown in the coordinate plane.
What are the coordinates of and ?
Is point on line ? Explain how you know.
Is point on line ? Explain how you know.
Is point on line ? Explain how you know.
Suppose you know the - and -coordinates of a point. Write a rule that would allow you to test whether the point is on line .
Here are two diagrams. Complete each diagram so that all vertical and horizontal segments have expressions for their lengths.
Use what you know about similar triangles to find an equation for the quotient of the vertical and horizontal side lengths of in each diagram.
Find the area of the shaded region by summing the areas of the shaded triangles.
Find the area of the shaded region by subtracting the area of the unshaded region from the large triangle.
What is going on here?