90.4k views
0 votes
Use slopes and y-intercepts to determine if the lines 6x−y=5 and 3x−y=4 are parallel.

User Valdars
by
3.6k points

1 Answer

6 votes
Answer:

the inequalities are not parallel

Explanation:

6x - y = 5

y = 5 - 6x or…

y = 6x - 5

3x - y = 4

y = 4 - 3x or…

y = 3x - 4

To determine if they’re parallel, they must NOT end up with a solution.

6x - 5 = 3x - 4

6x - 3x = 5 - 4

3x = 1

x = 1/3

x = 0.33

Therefore, the inequalities are not parallel

User Sami Haroon
by
3.7k points