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

Use point-slope form to write the equation of a line that passes through the point (−11,13) (-11,13) 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 (−11,13) (-11,13) with slope 33 .\newlineAnswer:
  1. Equation of a Line: The point-slope form of the equation of a line is given by y−y1=m(x−x1) y - y_1 = m(x - x_1) , where m m is the slope and (x1,y1) (x_1, y_1) is a point on the line.
  2. Given Point and Slope: Given the point (−11,13) (-11, 13) and the slope m=3 m = 3 , we can substitute these values into the point-slope form equation.
  3. Substitute Values: Substituting the given point and slope into the point-slope form, we get y−13=3(x−(−11)) y - 13 = 3(x - (-11)) .
  4. Simplify Equation: Simplify the equation by distributing the slope and removing the double negative: y−13=3(x+11) y - 13 = 3(x + 11) .
  5. Final Answer: The equation in point-slope form is y−13=3(x+11) y - 13 = 3(x + 11) . This is the final answer.

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