jose959924
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6, -1). O A. y = 5x – 29 O B. y = 1x+ 1 5 O C. y = 5x + 29 OD. y = -5x - 11​

Sagot :

Corsaquix

Answer:

[tex]{\text{C. }y=5x+29[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.

The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:

[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]

Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.