Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our 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