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Use point-slope form to write the equation of a line that passes through the point (16,9) with slope (1)/(6). Answer:

Use point-slope form to write the equation of a line that passes through the point (16,9) (16,9) with slope 16 \frac{1}{6} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (16,9) (16,9) with slope 16 \frac{1}{6} .\newlineAnswer:
  1. Point-Slope Form 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. Substitute Values: Given the point (16,9)(16, 9) and the slope m=16m = \frac{1}{6}, we can substitute these values into the point-slope form equation.\newline(y−9)=(16)(x−16)(y - 9) = \left(\frac{1}{6}\right)(x - 16)
  3. Check for Simplification: Check the equation for any simplification needed. In this case, the equation is already in the correct form and does not require further simplification.

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