Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our 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 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.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.