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Given are the lines l, m and n

l: 6x - 3y = 20

m: y = 2x - 6

n: 5x + 2 1/2y - 9 = 0

 

a. How are the lines l and m relative to each other?

b. How are the lines m and n relative to each other?

 Jun 8, 2019
 #1
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(a)

 

Rewrite l    as

 

-3y  = -6x + 20          divide through by -3

y = 2x - 20/3

 

m :  y = 2x - 6

 

Note that in the form  y = mx + b       m is the slope of the line

 

So   l and  m    have the same slope...so....they are parallel

 

 

(b)   5x + 2 1/2 y -9  = 0

5x + 5/2 y - 9  = 0               add 9 to both sides......subtract  5 x from both sides

(5/2)y = - 5x + 9                 multiply through by (2/5)

y = -2x + 18/5

 

m and n   are neither parallel  or perpendicular

 

Here's a graph : https://www.desmos.com/calculator/r0tsvzvdjo

 

 

cool cool cool

 Jun 8, 2019
edited by CPhill  Jun 8, 2019

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