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Graph this line using the slope and y-intercept: \( y = -\frac{7}{3}x + 4 \) Click to select points on the...

Graph this line using the slope and y-intercept:
\( y = -\frac{7}{3}x + 4 \)
Click to select points on the graph.

Answer

To graph the line \( y = -\frac{7}{3}x + 4 \), follow these steps:

  1. Identify the y-intercept: The y-intercept is 4, so plot the point (0, 4) on the graph.
  2. Use the slope: The slope is \(-\frac{7}{3}\), which means for every 3 units you move to the right, move 7 units down. From the point (0, 4), move 3 units to the right to (3, 4), then 7 units down to (3, -3). Plot this point.
  3. Draw the line: Connect the points (0, 4) and (3, -3) with a straight line extending in both directions.

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