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?

Guest Jun 8, 2019

#1**+2 **

(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

CPhill Jun 8, 2019