Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Write an equation of a line that is perpendicular to y = 3x + 4

Sagot :

Leora03

Answer:

[tex]y = - \frac{1}{3} x + 2[/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

y= 3x +4

Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.

slope= 3

The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.

m(3)= -1

Divide both sides by 3:

m= -⅓

y= -⅓x +c

Since the question does not specify the points the perpendicular line passes through, c can be any integer.

Thus, the equation of the perpendicular line could be y= -⅓x +2.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.