Question

Show that the paths represented by the equations x – 3y = 2 and –2x + 6y = 5 are parallel.

Answer 1

Answer:

Step-by-step explanation:

We know our standard linear equation is y=m*x+c

Hera m=slope

If slopes of these two equations are same then these ara parallel

First take x-3*y=2

x-2=3*y

3*y=x-2

y=(x-2)/3

y=1/3*x-2/3

So here slope is 1/3.

Then, -2*x+6*y=5

6*y=5+2*x

y=(5+2*x)/6

y=1/3*x+5/6

Here slope is also 1/3.

Both slopes are equal.

Then these two paths are parallel.