Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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 left 3 units and down 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 1 unit and down 3 units 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], we should use the following steps:

1. Plot the point [tex]\((-2,4)\)[/tex]:
- The given equation is in the point-slope form [tex]\( y - y_1 = m(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is the point on the line and [tex]\( m \)[/tex] is the slope.
- From the equation, we observe that it crosses the point [tex]\((-2, 4)\)[/tex].

2. From that point, count left 3 units and down 1 unit and plot a second point:
- The slope of the line is [tex]\(\frac{1}{3}\)[/tex], which indicates that for every 3 units moved horizontally to the left, the vertical movement should be 1 unit downwards.
- Starting from [tex]\((-2, 4)\)[/tex], we move 3 units to the left and 1 unit down, reaching the point [tex]\((-5, 3)\)[/tex].

3. Draw a line through the two points:
- Now, simply draw a straight line connecting the points [tex]\((-2, 4)\)[/tex] and [tex]\((-5, 3)\)[/tex], which will represent the graph of the equation.

Thus, the correct steps are:

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.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.