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Slope and Similar Triangles




 
Videos and lessons to help Grade 8 students learn how to use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b

Common Core: 8.EE.6

Suggested Learning Targets


  • I can find the slope of a line between a pair of distinct points.
  • I can determine the y-intercept of a line.
  • I can interpret unit rate as the slope of the graph.
  • I can analyze patterns for points on a line through the origin
  • I can derive an equation of the form y=mx for a line through the origin
  • I can analyze patterns for points on a line that does not pass through or include the origin
  • I can derive an equation of the form y=mx + b for a line intercepting the vertical axis at b (the y-intercept)
  • I can use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane

Related Topics:
Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Use similar triangles to explain equal slopes (8.EE.6)
In this lesson you will learn how to make a straight line by using right triangles.
In this lesson you will learn to describe a straight line by naming its unique slope.



In this lesson you will learn to find the slope of a line on a coordinate plane by drawing a right triangle.
In this lesson you will learn to derive the equation y=mx by using similar triangles.


 
In this lesson you will learn to derive the equation y=mx+b by using similar triangles.
In this lesson you will learn to determine coordinates of points on a straight line by using similar triangles.


Interpret The Rate of Change/Slope and Intercepts Within the Context of Everyday.
8.EE.6 Slope Intercept Form.


 
8.EE.6 Zero and Undefined Slopes.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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