Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Select the correct answer.

The equation of a line in point-slope form is shown below:

[tex]\[ y - 9 = \frac{1}{5}(x - 2) \][/tex]

What is the slope of this line?

A. 2
B. [tex]\(\frac{1}{9}\)[/tex]
C. 5
D. [tex]\(\frac{1}{5}\)[/tex]

Sagot :

GinnyAnswer
To find the slope of the line given in point-slope form, let's examine the equation:

[tex]\[ y - 9 = \frac{1}{5}(x - 2) \][/tex]

The point-slope form of a line is given by:

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

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

From the given equation:

[tex]\[ y - 9 = \frac{1}{5}(x - 2) \][/tex]

we can see that [tex]\((x_1, y_1)\)[/tex] is [tex]\((2, 9)\)[/tex] and the slope [tex]\(m\)[/tex] is [tex]\(\frac{1}{5}\)[/tex].

Therefore, the slope of the line is:

[tex]\[ m = \frac{1}{5} \][/tex]

The correct answer is:
D. [tex]\(\frac{1}{5}\)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.