Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.