SOLUTION: Line L is given by y=24-7/8x and point P has coordinates (56,15) (a) Find the equation of the line containing P and parallel to L y= b) Find the equation of the li

Algebra ->  Linear-equations -> SOLUTION: Line L is given by y=24-7/8x and point P has coordinates (56,15) (a) Find the equation of the line containing P and parallel to L y= b) Find the equation of the li      Log On


   

Question 317648: Line L is given by y=24-7/8x and point P has coordinates (56,15)
(a) Find the equation of the line containing P and parallel to L
y=
b) Find the equation of the line containing P and perpendicular to L
y=
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Parallel lines have identical slopes.
m1=m2=-7%2F8
Use the slope-intercept form of a line,
y=mx%2Bb
y=-%287%2F8%29x%2Bb
Use the point to solve for b.
15=-%287%2F8%29%2856%29%2Bb
b=15%2B49
b=64
highlight%28y=+-%287%2F8%29x%2B64+%29
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Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
-%287%2F8%29%2Am2=-1
m2=8%2F7
Use the point to solve for b.
15=%288%2F7%29%2856%29%2Bb
b=15-64
b=64
highlight%28y=+%288%2F7%29x-49+%29
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