### Question Description

I’m working on a Algebra question and need guidance to help me study.

Parallel and Perpendicular |

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

- Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form.

*My*

**first name**starts with:**A**

Write the equation of a line parallel to the given line but passing through the given point.

**Y= ½ x +
3;(-2,1)**

Write the equation of a line perpendicular to the given line but passing through the given point.

**Y= ¾ x + -1;
(4,0)**

- Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line.
- Answer these two questions briefly in your own words:
- What does it mean for one line to be parallel to another?
- What does it mean for one line to be perpendicular to another?

- Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
- Origin
- Ordered pair
- X- or y-intercept
- Slope
- Reciprocal

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