Parallel and Perpendicular
• Read the following instructions in order to complete this discussion, and review the exampleof how to complete the math required for this assignment:
o 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.
Write the equation of a line parallel to the given line and passing through the given point. Write the equation of a line perpendicular to the given line and passing through the given point.
y = ½ x + 3; (4, -1) y = ½ x + 3; (4, -1)
o Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line.
o 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?
o 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