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Use point-slope form to write the equation of a line that passes through the point (13,11) with slope 3 . Answer:

Use point-slope form to write the equation of a line that passes through the point (13,11) (13,11) with slope 33 .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (13,11) (13,11) with slope 33 .\newlineAnswer:
  1. Identify Given Point: Identify the given point and slope.\newlineWe are given the point (13,11)(13,11) and the slope m=3m = 3.
  2. Recall Point-Slope Form: Recall the point-slope form of a line's equation.\newlineThe point-slope form is given by: y−y1=m(x−x1)y - y_1 = m(x - x_1), where (x1,y1)(x_1, y_1) is a point on the line and mm is the slope.
  3. Substitute Given Values: Substitute the given point and slope into the point-slope form.\newlineUsing the point (13,11)(13,11) and slope m=3m = 3, we substitute into the equation: y−11=3(x−13)y - 11 = 3(x - 13).
  4. Simplify Equation: Simplify the equation if necessary.\newlineIn this case, the equation y−11=3(x−13)y - 11 = 3(x - 13) is already in the correct form and does not need further simplification.

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