Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.