Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

6x+2y=8 and 3y=6x+9 find the slopes and tell whether or not the lines are parallel

Sagot :

Answer:

The lines are not parallel

Step-by-step explanation:

Parallel lines have the same slope

To find the slope of each line, we must find two ordered pairs that belong on each line. (x,y)

6x + 2y = 8

Two ordered pairs (1,1) and (0,4)

                               x1y1        x2y2

Slope = y2-y1/x2-x1

Slope = 4-1/0-1 = 3/-1 = -3

3y = 6x+9

Two ordered pairs (1,15) and (3,27)

                               x1y1        x2y2

Slope = y2-y1/x2-x1

Slope = 27-15/3-1 = 12/2 = 6

[tex]6\neq -3[/tex], so these lines are not parallel

Hope this helps :)

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.