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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 :

GinnyAnsweridn
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.
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