Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Which best describes the relationship between the lines?


2x – y = −1


4x – 2y = 6


same line


perpendicular


neither


parallel


Sagot :

same line preparations

Answer:

Parallel

Step-by-step explanation:

So the best way to compare two lines is to convert it into slope-intercept form which is given in the form of: y=mx+b where m is the slope, and b is the y-intercept, in this form it's really easy to see if they're the same line, parallel, or perpendicular.

Original Equation:

2x - y = -1

Subtract 2x from both sides

-y = -2x - 1

Divide both sides by -1

y = 2x + 1

Original Equation:

4x - 2y = 6

Subtract 4x from both sides

-2y = -4x + 6

Divide both sides by -2

y = 2x - 3

As you can see both equations have a slope of 2, but different y-intercepts, so they're not the same line, but they'll also never intersect, because they increase by the same amount, thus they are parallel

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.