Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. 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.

Solve for [tex]x[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]

---

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

A. [tex]\(y - 1 = 3(x - 2)\)[/tex]

Sagot :

GinnyAnswer
To determine the point-slope form of a line that has a given slope and passes through a specific point, we use the point-slope formula of a linear equation, which is:

[tex]\[ y - y_1 = m(x - x_1) \][/tex]

Here, [tex]\((x_1, y_1)\)[/tex] is a point on the line, and [tex]\(m\)[/tex] is the slope of the line.

In this problem, we are given:
- The slope [tex]\( m = 3 \)[/tex]
- The point [tex]\( (x_1, y_1) = (2, 1) \)[/tex]

We substitute these values into the point-slope formula:

[tex]\[ y - 1 = 3(x - 2) \][/tex]

Therefore, the point-slope form of the line with slope [tex]\(3\)[/tex] that passes through the point [tex]\((2, 1)\)[/tex] is:

[tex]\[ y - 1 = 3(x - 2) \][/tex]

So, the correct answer is not [tex]\( y - 2 = 3(x - 1) \)[/tex], rather it is [tex]\( y - 1 = 3(x - 2) \)[/tex].

Thus, the provided answer "A. [tex]\( y - 2 = 3(x - 1) \)[/tex]" is incorrect. The correct point-slope form of the line is:

[tex]\[ y - 1 = 3(x - 2) \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.