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?
+128475 (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
