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Use point-slope form to write the equation of a line that passes through the point (-11,7) with slope -(3)/(2). Answer:

Use point-slope form to write the equation of a line that passes through the point (−11,7) (-11,7) with slope −32 -\frac{3}{2} .\newlineAnswer:

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Full solution

Q. Use point-slope form to write the equation of a line that passes through the point (−11,7) (-11,7) with slope −32 -\frac{3}{2} .\newlineAnswer:
  1. Point-Slope Form Definition: 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 mm is the slope and (x1,y1)(x_1, y_1) is a point on the line.
  2. Given Point and Slope: Given the point (−11,7)(-11, 7) and the slope −32-\frac{3}{2}, we can substitute these values into the point-slope form equation.
  3. Substitute Values: Substituting the given point and slope into the equation, we get (y−7)=−32(x−(−11))(y - 7) = -\frac{3}{2}(x - (-11)).
  4. Simplify Equation: Simplify the equation by distributing the slope and removing the double negative in front of 1111: (y−7)=−(32)(x+11)(y - 7) = -\left(\frac{3}{2}\right)(x + 11).
  5. Final Answer: The equation in point-slope form is now (y−7)=−32(x+11)(y - 7) = -\frac{3}{2}(x + 11). This is the final answer.

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