The slope of the line below is -8/7. Write a point-slope equation of the line using the coordinates of the labeled point.

1 answer

To write a point-slope equation of a line using the slope and a specific point, you can use the point-slope form of the equation, which is given by:

\[ y - y_1 = m(x - x_1) \]

Where:

  • \(m\) is the slope of the line,
  • \((x_1, y_1)\) is a point on the line.

Given that the slope \(m\) is \(-\frac{8}{7}\), and if you have a specific point labeled as \((x_1, y_1)\), you would plug in these values into the equation.

For example, if the labeled point is (3, 4), you would substitute \(x_1 = 3\) and \(y_1 = 4\) into the equation:

\[ y - 4 = -\frac{8}{7}(x - 3) \]

If you provide specific coordinates for the point, I can give you the exact point-slope equation.