Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Which steps should be used to graph the equation below?
[tex]\[ y - 4 = \frac{1}{3}(x + 2) \][/tex]

A.
1. Plot the point [tex]\((-2,4)\)[/tex].
2. From that point, count right 3 units and up 1 unit and plot a second point.
3. Draw a line through the two points.

B.
1. Plot the point [tex]\((2,4)\)[/tex].
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.

C.
1. Plot the point [tex]\((2,4)\)[/tex].
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.

D.
1. Plot the point [tex]\((-2,4)\)[/tex].
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.

Sagot :

GinnyAnswer
To graph the equation [tex]\( y - 4 = \frac{1}{3}(x + 2) \)[/tex], you can follow these steps:

1. Plot the point [tex]\( (-2, 4) \)[/tex]. This is the point where the line intersects the y-axis when [tex]\( x = -2 \)[/tex].

2. From that point, count right 3 units and up 1 unit and plot a second point. This is based on the slope [tex]\( \frac{1}{3} \)[/tex], meaning for every movement of 3 units to the right, there is a 1-unit increase in the y-value.

3. Draw a line through the two points.

The correct sequence of steps for this problem is:
- Plot the point [tex]\((-2, 4)\)[/tex].
- From that point, count right 3 units and up 1 unit, then plot the point [tex]\((1, 5)\)[/tex].
- Draw a line through the two points.

Therefore, the correct steps are:

1. Plot the point [tex]\((-2, 4)\)[/tex].
2. From that point, count right 3 units and up 1 unit and plot a second point.
3. Draw a line through the two points.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.