Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is the point-slope form of a line with slope 3 that contains the point [tex][tex]$(2,1)$[/tex][/tex]?

A. [tex]y-2=3(x-1)[/tex]
B. [tex]y+1=3(x+2)[/tex]
C. [tex]y-2=3(x+1)[/tex]
D. [tex]y-1=3(x-2)[/tex]

Sagot :

GinnyAnswer
Sure, let's find the point-slope form of a line given a slope and a specific point.

First, recall the point-slope form of a line, which is:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
Here, [tex]\( m \)[/tex] is the slope and [tex]\( (x_1, y_1) \)[/tex] is the given point on the line.

In this problem, we have:
- Slope ([tex]\( m \)[/tex]) = 3
- Point ([tex]\( x_1, y_1 \)[/tex]) = (2, 1)

Substitute these values into the point-slope form equation:
[tex]\[ y - 1 = 3(x - 2) \][/tex]

So, the correct point-slope form of the line is:
[tex]\[ y - 1 = 3(x - 2) \][/tex]

Looking at the answer choices, the correct option is:
D. [tex]\( y - 1 = 3(x - 2) \)[/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.