Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

What is the point-slope form of a line with slope 6 that contains the point [tex]$(1,2)$[/tex]?

A. [tex]y - 2 = 6(x - 1)[/tex]

B. [tex]y + 2 = 6(x + 1)[/tex]

C. [tex]y + 2 = 6(x - 1)[/tex]

D. [tex]x + 1 = 6(y + 2)[/tex]

Sagot :

GinnyAnswer
To find the point-slope form of a line, we use the formula:

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

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

Given the slope [tex]\(m = 6\)[/tex] and the point [tex]\((1, 2)\)[/tex], we can substitute these values into the formula:

1. Start with the point-slope formula:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]

2. Substitute the slope [tex]\(m = 6\)[/tex]:
[tex]\[ y - y_1 = 6(x - x_1) \][/tex]

3. Substitute the point [tex]\((x_1, y_1) = (1, 2)\)[/tex]:
[tex]\[ y - 2 = 6(x - 1) \][/tex]

Simplifying, we get the equation:
[tex]\[ y - 2 = 6(x - 1) \][/tex]

Thus, the point-slope form of the line with slope [tex]\(6\)[/tex] passing through the point [tex]\((1, 2)\)[/tex] is:

[tex]\[ y - 2 = 6(x - 1) \][/tex]

So, the correct option is:

A. [tex]\( y - 2 = 6(x - 1) \)[/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.