Type of paper:
1. One line is parallel to another if the two have the same slope, thus they don’t intersect (Young, 2010). Therefore, to find a line parallel to a given line, it is firstly necessary to establish that the lines have the same slope. The slope value helps to construct a general equation of the lines parallel to the given one. For y=-2x+4 with the slope equal to -2, all parallel lines have the form y=-2x+b, where b is the y-intercept of the equation (the line intercepts y-axis b units away from the origin). Since the line sought passes through a point represented by the ordered pair (8,-1), in the second step we plug in the entries of the ordered pair into the equation:
-1=-2*8+b, hence b=15. Therefore the equation of the line parallel to y=-2x+4 and passing through the point (8,-1) in the slope-intercept form is y1=-2x+15.
2. The line is perpendicular to another one only if their slopes are negative reciprocals (McKeague, 2011). Therefore, if the slope of the given line y=-4x-5 is -4, then the slope of the lines perpendicular to it is ¼ . Since the line evaluated passes through the point represented by the ordered pair (0,-1), which is the y-intercept, in the second step it is possible to plug in the values of the point into the general equation of the lines perpendicular to y=-4x-5: -1=-2*0 + b, hence b =-1. Therefore the equation of the line perpendicular to y=-4x-5 in the slope-intercept form is y1 = (¼)x-1.
McKeague, C. P. (2011). Elementary algebra. Mason, OH: Cengage Learning.
Young, C. Y. (2010). Precalculus. Hoboken, NJ: John Wiley & Sons.
Cite this page
Choose cite format:
WowEssays. (2020, January, 01) Parallel And Perpendicular Essay. Retrieved July 05, 2020, from https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/
"Parallel And Perpendicular Essay." WowEssays, 01 Jan. 2020, https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/. Accessed 05 July 2020.
WowEssays. 2020. Parallel And Perpendicular Essay., viewed July 05 2020, <https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/>
WowEssays. Parallel And Perpendicular Essay. [Internet]. January 2020. [Accessed July 05, 2020]. Available from: https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/
"Parallel And Perpendicular Essay." WowEssays, Jan 01, 2020. Accessed July 05, 2020. https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/
WowEssays. 2020. "Parallel And Perpendicular Essay." Free Essay Examples - WowEssays.com. Retrieved July 05, 2020. (https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/).
"Parallel And Perpendicular Essay," Free Essay Examples - WowEssays.com, 01-Jan-2020. [Online]. Available: https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/. [Accessed: 05-Jul-2020].
Parallel And Perpendicular Essay. Free Essay Examples - WowEssays.com. https://www.wowessays.com/free-samples/parallel-and-perpendicular-essay/. Published Jan 01, 2020. Accessed July 05, 2020.
Warning: This sample is available to anyone.
If you want unique paper, order it from one of our professional writers.
GET UNIQUE PAPER