Verify if the lines y = 7x/2 - 17/2 and y = 14x/9 - 24/9 are parallel .

Expert Answers

An illustration of the letter 'A' in a speech bubbles

A line can be expressed in the standard form y = mx + c where m is the slope and c is the y-intercept. For the two line to be parallel they should have the same slope.

Now, y = 7x / 2 - 17/2 has the slope m equal to 7/2

For y = 14x/9 - 24/9 , the slope m is equal to 14/9

Now  we see that the slopes of the lines which are 14/9 and 7/2 are not equal. Therefore the two lines are not parallel.

Two lines that are not parallel are intersecting but you do not  want the point of intersection, instead you just want to know if they are parallel or not.

Therefore the lines are not parallel.

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial