Question

Determine if the lines are Parallel,Perpendicular or neither .

Answer 1

Answer:

Perpendicular

Step-by-step explanation:

General equation of line: $y=mx+c$

Line 1: 6x+10y=20

Convert in general equation

$10y = 20-6x$

$y = \frac{20-6x}{10}$

$y =2-\frac{6}{10}x$

$y =2-\frac{3}{5}x$

Line 2: 5x-3y=21

Convert in general equation

$5x-21=3y$

$\frac{5x-21}{3}=3y$

$\frac{5}{3}x-7=3y$

if slopes are equal then the lines are parallel

If the product of slopes is -1 then they are perpendicular

Since$\frac{-3}{5} \neq \frac{5}{3}$

So, lines are not parallel

$\frac{-3}{5} \times \frac{5}{3}$

$-1$

Since the product of slopes is -1

Hence the given lines are perpendicular

Answer 2

6x+10y=20
10y=-6x+20
y=-6/10x+20/10
y=-3/5x+2

5x-3y=21
-3y=21-5x
y=21/-3+-5/-3x
y=3/5x-7


Two lines are Perpendicular