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.
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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.
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