164k views
5 votes
IS 2x+3y=1 and y = 2x+3 parallel or perpendicular ​

1 Answer

6 votes

Answer: Neither

======================================================

Step-by-step explanation:

Solve the first equation for y

2x+3y = 1

3y = -2x+1

y = (-2x+1)/3

y = (-2/3)x + 1/3

The last equation shown above is in y = mx+b form

m = -2/3 = slope

b = 1/3 = y intercept

We see that the slope of y = 2x+3 is m = 2.

Since the two slopes (-2/3 and 2) are different, this means the lines aren't parallel. They aren't perpendicular either because the slopes don't multiply to -1.

User Bhushan B
by
3.4k points