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Graph this line using the slope and y-intercept: \( y = -\frac{6}{7}x + 7 \) Click to select points on the...

Graph this line using the slope and y-intercept:
\( y = -\frac{6}{7}x + 7 \)
Click to select points on the graph.

Answer

To graph the line \( y = -\frac{6}{7}x + 7 \), follow these steps:

  1. Identify the y-intercept: The y-intercept is 7, so plot the point (0, 7) on the graph.
  2. Use the slope: The slope is \(-\frac{6}{7}\), which means for every 7 units you move to the right, move 6 units down. From the point (0, 7), move 7 units to the right to (7, 7) and then 6 units down to (7, 1). Plot the point (7, 1).
  3. Draw the line: Connect the points (0, 7) and (7, 1) with a straight line extending in both directions.

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