What does it mean for one line to be parallel to another


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.

o Use your assigned number to complete. (My assigned number is 14)

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.

The problem is y= 3/4x-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:

o What does it mean for one line to be parallel to another?
o 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.):

o Origin
o Ordered pair
o X- or y-intercept
o Slope
o Reciprocal

Your initial post should be 150-250 words in length.

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Mathematics: What does it mean for one line to be parallel to another
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