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Use point-slope form to write the equation of a line that passes through the point (1,-13) with slope -(2)/(11). Answer:

Use point-slope form to write the equation of a line that passes through the point (1,−13) (1,-13) with slope −211 -\frac{2}{11} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (1,−13) (1,-13) with slope −211 -\frac{2}{11} .\newlineAnswer:
  1. Recall Point-Slope Form: Recall the point-slope form of a line's equation.\newlineThe point-slope form of a line's equation is given by:\newliney−y1=m(x−x1)y - y_1 = m(x - x_1)\newlinewhere (x1,y1)(x_1, y_1) is a point on the line and mm is the slope of the line.
  2. Identify Point and Slope: Identify the given point and slope.\newlineThe given point is (1,−13)(1, -13) and the slope mm is −211-\frac{2}{11}.
  3. Substitute into Equation: Substitute the given point and slope into the point-slope form.\newlineUsing the point (1,−13)(1, -13) and the slope −211-\frac{2}{11}, we substitute into the equation:\newliney−(−13)=−211(x−1)y - (-13) = -\frac{2}{11}(x - 1)
  4. Simplify Equation: Simplify the equation.\newliney+13=−211(x−1)y + 13 = -\frac{2}{11}(x - 1)\newlineThis is the equation of the line in point-slope form.

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