Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable 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]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.