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Illustrative Math
Grade 8
Let’s explore the relationship between points on a line and the slope of the line.
Illustrative Math Unit 8.2, Lesson 11 (printable worksheets)
The following diagram shows the relationship between points on a line and the slope of the line.
Find each of the following and explain your reasoning:
Line j is shown in the coordinate plane.
Here are two diagrams:
Area = (1/2 · 24 · 15) + 2 · (1/2 · 5 · 10)
= 230
Area = (1/2 · 34 · 25) - 10 · 24
= 185
The 2 areas are not the same.
This because there is an error in the diagram.
The side of the larger triangle does not form a straight line because the slope 10/5 does not equal the slope 15/12.
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