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.
