Determine slope from coordinate points. Find slope of horizontal and vertical lines.
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In determining slope from coordinate points, students will need a strong grasp of adding and subtracting signed numbers (standard 7.NS.1). If needed, review these concepts and skills prior to this lesson.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 2 and 3 (benefit from worked examples). Find more guidance on adapting our math curriculum for remote learning here.
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The table below shows some solution values for the equation $${{y=-3x+2}}$$.
$$x$$ | $$y$$ |
-2 | 8 |
-1 | 5 |
0 | 2 |
1 | -1 |
Use the values in the table to determine the slope of the line represented by $${{y=-3x+2}}$$.
Find the slope of the line between the points (-1, 3) and (5, 11).
Is the point (-4, -1) on the same line as the other two points? Use slope to justify your answer.
Find the slope of line $$m$$ and line $$n$$, shown below.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Samantha found the slope of the line that passed through the points $${(2, 6)}$$ and $${(-4, 8)}$$. Her work is shown below.
$${{8-6\over {2-(-4)}} = {2\over 2+4 }= {2\over 6} = {1\over3}}$$
Samantha made an error in her work. Describe the error and then find the correct slope of the line through the two given points.