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Home > CCG > Chapter 1 > Lesson 1.2.3 > Problem 1-77

1-77.

Use what you learned about the slopes of parallel and perpendicular lines to find the equation of a line that would meet the criteria given below. 1-77a HW eTool (Desmos) and 1-77b HW eTool (Desmos). Homework Help ✎

  1. Find the equation of the line that goes through the point and is perpendicular to the line .

  • Use the eTool below to help you find the equation in part (a).
    Click the link at right for the full version of the eTool: CCG 1-77a HW eTool

    Determine the slope of the new line.
    Remember that the slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

    Substitute in the point given to determine the y-intercept.

     

  1. Find the equation of the line that is parallel to the line and goes through the point .

  • Use the eTool below to help you find the equation in part (b).
    Click the link at right for the full version of the eTool: CCG 1-77b HW eTool

    Rewrite the equation in form. What is the slope of a parallel line?