Slopes and Tangents on a Graph


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question 1 of 3

Which of the following graphs MOST likely represents the equation y = 5.2x-2?

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1. What is the slope of the line given by the equation y + 3x = 2?

2. What is the slope of the line tangent to the curve given by the equation y = (x-1)²+2 at the point (1,2)?

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About This Quiz & Worksheet

Some questions will ask you to find the slope of a line. These questions will provide you with the equation of a line. Other questions will give you an equation of a line and a particular point on the line. You will have to find the slope of the tangent line.

Quiz & Worksheet Goals

You will be tested on the following topics:

  • Slope
  • Tangent
  • Equations of lines

Skills Practiced

You will practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related slopes and tangents lesson
  • Problem solving - use acquired knowledge to solve slope practice problems
  • Making connections - use understanding of the concept of slopes and tangents
  • Interpreting information - verify that you can read information regarding slopes and tangents and interpret it correctly
  • Information recall - access the knowledge you've gained regarding the equation of a line

Additional Learning

The quiz will help you test your knowledge. You can also read the related lesson Slopes and Tangents on a Graph to further improve your grasp on the subject. This lesson covers these objectives:

  • Explaining slope through real world examples
  • Understanding the equation of a line
  • Exploring the tangent line
  • Describing how to solve for the slope
  • Walking through example problems of slope and tangents on a graph