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.

y = x 1; (3, 1)

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

y = x 1; (3, 1)

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