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Which steps should be used to graph the equation below? y-4=(1)/(3)(x+2) 1. Plot the point (2,4) 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. 1. Plot the boint (2,4) 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. 1. Plot the point (-2,4) 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.

Question

Which steps should be used to graph the equation
below?
y-4=(1)/(3)(x+2)
1. Plot the point (2,4)
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.
1. Plot the boint (2,4)
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.
1. Plot the point (-2,4)
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.

Which steps should be used to graph the equation below? y-4=(1)/(3)(x+2) 1. Plot the point (2,4) 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. 1. Plot the boint (2,4) 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. 1. Plot the point (-2,4) 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.

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BronwenProfessional · Tutor for 6 years

Answer

To graph the equation \(y-4=\frac{1}{3}(x+2)\), we need to follow these steps:Step 1: Identify the y-intercept and plot it.The equation is in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To get it into this form, we need to isolate \(y\):\[y = \frac{1}{3}(x+2) + 4\]Now, we can see that the y-intercept (\(b\)) is 4. This means the line crosses the y-axis at \(y = 4\). The corresponding point on the graph is \((0,4)\), not \((2,4)\) or \((-2,4)\).Step 2: Use the slope to find a second point.The slope \(m\) is \(\frac{1}{3}\), which means that for every 3 units we move to the right (positive direction along the x-axis), we move up 1 unit (positive direction along the y-axis). Alternatively, if we move 3 units to the left (negative direction along the x-axis), we move down 1 unit (negative direction along the y-axis).Starting from the y-intercept point \((0,4)\), we can move right 3 units and up 1 unit to find a second point. This would give us the point \((3,5)\).Step 3: Draw a line through the two points.Once we have two points, \((0,4)\) and \((3,5)\), we can draw a straight line through these points to represent the equation.The correct steps to graph the equation are therefore:1. Plot the point \((0,4)\).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.The provided options are incorrect because they do not start with the correct y-intercept or use the correct slope. The final answer is the corrected steps I provided above.
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