Description
- 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.
- Use your assigned number to complete. 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
My assigned number: y = -4x – 5; (0, -1) y = -4x – 5; (0, -1)
- 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
Your initial post should be 150-250 words in length
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Explanation & Answer
Attached.
𝑦 = −4𝑥 − 5
(0,-1)
To find the line parallel to this given line and through this point, take the slope from this
line and the point, or ordered pair, and use the following equation to plug the given
information in:
𝑦 − 𝑦! = 𝑚(𝑥 − 𝑥! )
The slope from the original problem is the coefficient of the x: -4
Plug into equation above:
𝑚 = −4
𝑦! = −...
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