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Use point-slope form to write the equation of a line that passes through the point (2,10) with slope -1 . Answer:

Use point-slope form to write the equation of a line that passes through the point (2,10) (2,10) with slope −1-1 .\newlineAnswer:

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Q. Use point-slope form to write the equation of a line that passes through the point (2,10) (2,10) with slope −1-1 .\newlineAnswer:
  1. Recall Point-Slope Form: Recall the point-slope form of a line's equation. The point-slope form of a line's equation is given by: y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is a point on the line.
  2. Identify Slope and Point: Identify the slope (mm) and the point (x1,y1x_1, y_1) given in the problem.\newlineThe slope mm is given as −1-1, and the point (x1,y1x_1, y_1) is given as (2,10)(2, 10).
  3. Substitute into Equation: Substitute the slope and the point into the point-slope form equation.\newlineUsing the slope m=−1m = -1 and the point (2,10)(2, 10), we substitute into the equation: y−10=−1(x−2)y - 10 = -1(x - 2).
  4. Check for Errors: Check the equation for any simplification or errors.\newlineThe equation y−10=−1(x−2)y - 10 = -1(x - 2) is already in the correct point-slope form and does not require further simplification. There are no math errors.

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