### Home > CCG > Chapter 1 > Lesson 1.2.3 > Problem 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 ✎

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.

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?