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Use point-slope form to write the equation of a line that passes through the point (13,12) with slope -(1)/(3). Answer:

Use point-slope form to write the equation of a line that passes through the point (13,12) (13,12) with slope −13 -\frac{1}{3} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (13,12) (13,12) with slope −13 -\frac{1}{3} .\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. Substitute Given Point and Slope: Substitute the given point and slope into the point-slope form.\newlineGiven point (x1,y1)=(13,12)(x_1, y_1) = (13, 12) and slope m=−13m = -\frac{1}{3}, we substitute these values into the point-slope form equation.\newline(y−12)=−13(x−13)(y - 12) = -\frac{1}{3}(x - 13)
  3. Check for Simplification: Check the equation for any possible simplification. The equation (y−12)=−13(x−13)(y - 12) = -\frac{1}{3}(x - 13) is already in the correct form and does not require further simplification.

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